Physics Book - User contributions [en]

Parallel Circuits vs. Series Circuits*

2016-11-28T04:09:11Z

Yfu76: /* History */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:SimpleQuestion.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:1MiddleQuestion.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:1DifficultQuestion.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

File:1DifficultQuestion.jpg

2016-11-28T04:07:42Z

Yfu76:

Parallel Circuits vs. Series Circuits*

2016-11-28T04:07:33Z

Yfu76: /* Difficult */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:SimpleQuestion.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:1MiddleQuestion.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:1DifficultQuestion.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T04:07:13Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:SimpleQuestion.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:1MiddleQuestion.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:DifficultQuestion.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

File:1MiddleQuestion.jpg

2016-11-28T04:06:43Z

Yfu76:

File:SimpleQuestion.jpg

2016-11-28T04:01:19Z

Yfu76:

Parallel Circuits vs. Series Circuits*

2016-11-28T03:57:26Z

Yfu76: /* Examples */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:SimpleQuestion.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:MiddleQuestion.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:DifficultQuestion.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

File:DifficultQuestion.jpg

2016-11-28T03:56:34Z

Yfu76:

File:MiddleQuestion.jpg

2016-11-28T03:56:03Z

Yfu76:

Parallel Circuits vs. Series Circuits*

2016-11-28T03:50:43Z

Yfu76: /* Examples */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:SimpleQuestion.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:MiddleQuestion.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:DifficultQuestion.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:49:23Z

Yfu76: /* Examples */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:Simple.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:Difficult.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:49:08Z

Yfu76: /* Difficult */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:Simple.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

[[File:difficult.jpg]]

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:48:05Z

Yfu76: /* Simple */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

[[File:Simple.jpg]]

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:46:54Z

Yfu76: /* Further reading and External links */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and external links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:46:40Z

Yfu76: /* See also */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

===Further reading and External links===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:46:00Z

Yfu76: /* References */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm: [[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:45:49Z

Yfu76: /* References */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

[[Category:Which Category did you place this in?]]

Georg Ohm[[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:45:27Z

Yfu76: /* References */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

[[1]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:44:38Z

Yfu76: /* References */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

[1]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:43:16Z

Yfu76: /* References */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

[https://www.britannica.com/biography/Georg-Ohm]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:42:41Z

Yfu76: /* History */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827[https://www.britannica.com/science/Ohms-law], which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:41:44Z

Yfu76: /* Further reading */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827, which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

About Georg Ohm:
[http://ffden-2.phys.uaf.edu/211.fall2000.web.projects/Jeremie%20Smith/page2.htm]
[https://www.britannica.com/biography/Georg-Ohm]

About Ohm's law:
[https://www.britannica.com/science/Ohms-law]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:40:24Z

Yfu76: /* History */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827, which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:OhmPic.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:39:57Z

Yfu76: /* History */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

The fundamental principles of in-series and in-parallel models, ohm's law, an empirical law, was discovered by Georg Ohm, a German scientist, in 1827, which states "which states that the current flow through a conductor is directly proportional to the potential difference (voltage) and inversely proportional to the resistance." It has many limitations. It can only be applied to ohmic circuits (circuits which only generate heat). Ohm was not recognized for his achievement until 1849, when he finally got the chair in University of Munich.

[[File:Ohm.jpg]]

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:33:09Z

Yfu76: /* Connectedness */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
'''How is this topic connected to something that you are interested in?'''

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

'''How is it connected to your major?'''

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

'''Is there an interesting industrial application?'''

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:32:44Z

Yfu76: /* Connectedness */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?

This topic helps me roughly estimate the amperage, power consumption and heat generation of an circuit, with adaptions. It helps build design a circuit.

#How is it connected to your major?

For simple estimation of power supply of an ohmic circuit, we may apply the model to calculate the result.

#Is there an interesting industrial application?

Yes. Simply put, daisy-chained computer devices are in-series, while wall plugs in everyone's home are in-parallel. The model helps design them.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:29:11Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:28:20Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:28:09Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:27:26Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

[[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:26:47Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component: [[File:Middling.jpg]]

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

File:Simple.JPG

2016-11-28T03:25:25Z

Yfu76: Yfu76 uploaded a new version of "File:Simple.JPG"

File:Simple.JPG

2016-11-28T03:24:07Z

Yfu76:

Parallel Circuits vs. Series Circuits*

2016-11-28T03:16:58Z

Yfu76: /* Difficult */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

===Difficult===

#complex combination of in-series and in-parallel components:

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:16:50Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component:

===Difficult===

#complex combination of in-series and in-parallel components

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:16:42Z

Yfu76: /* Difficult */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component

===Difficult===

#complex combination of in-series and in-parallel components

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:15:29Z

Yfu76: /* Middling */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===

#simple combination of one in-series component or one in-parallel component

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:14:52Z

Yfu76: /* Simple */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:
#Purely in-parallel:

===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:14:45Z

Yfu76: /* Simple */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:

##Purely in-parallel:

===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T03:14:38Z

Yfu76: /* Simple */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

#Purely in-series:

#Purely in-parallel:

===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T02:54:59Z

Yfu76: /* A Computational Model */

'''Claimed by Yu Fu FALL 2016'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

A ohmic circuit is a set of resistors linked together in an unique combination. It can also includes components such as bulbs, heaters and meters as long as they can be considered ohmic. In other words, if all components in a circuit only release heat when connected to a power source like battery, then the circuit is ohmic, and such a circuit is easy to analyze when components are connected in parallel or in series by using Ohm's law. We may need to use other laws when analyzing non-ohmic circuits. Any resistors may become non-ohmic under very high voltage, and some may be so under low voltage.

===A Computational Model===

For a purely in-series circuit, (or purely in-series combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> + <math>U_{2}</math> + <math>U_{3}</math> + ... + <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> = <math>I_{2}</math> = <math>I_{3}</math> = ... = <math>I_{n}</math>

<math>R_{total}</math> = <math>R_{1}</math> + <math>R_{2}</math> + <math>R_{3}</math> + ... + <math>R_{n}</math>

if there are n ohmic components in the circuit connected in series.

For a purely in-parallel circuit, (or purely in-parallel combination of resistors)

<math>U_{total}</math> = <math>U_{1}</math> = <math>U_{2}</math> = <math>U_{3}</math> = ... = <math>U_{n}</math>

<math>I_{total}</math> = <math>I_{1}</math> + <math>I_{2}</math> + <math>I_{3}</math> + ... + <math>I_{n}</math>

<math>{\frac{1}{R}_{total}}</math> = <math>{\frac{1}{R}_{1}}</math> +<math>{\frac{1}{R}_{2}}</math> + <math>{\frac{1}{R}_{3}}</math> + ... + <math>{\frac{1}{R}_{n}}</math>

For ohmic circuits,

When a circuit is analyzed, cut up circuits into purely in-series combination of components or purely in-parallel combination of components, calculate resistance of each combination of components. Reduce the circuit until it is purely in-series or in-parallel and calculate the current, total resistance and potential difference between two ends of each component.

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Parallel Circuits vs. Series Circuits*

2016-11-28T02:20:09Z

Yfu76: /* A Computational Model */

Parallel Circuits vs. Series Circuits*

2016-11-28T02:05:36Z

Yfu76: /* A Mathematical Model */

Parallel Circuits vs. Series Circuits*

2016-11-26T21:36:23Z

Yfu76:

Parallel Circuits vs. Series Circuits*

2016-11-26T17:53:33Z

Yfu76:

'''Claimed by Yu Fu'''

==Parallel Circuits vs. Series Circuits==
In a circuit containing a power source and different electrical elements such as resistors, capacitors, or bulb, the elements of the circuit can be connected either in parallel or in series, relative to the power source. Each type of connection affects the resistivity and overall current in the circuit.

Suppose we have three bulbs and a battery to connect together in a circuit.

One way to connect the bulbs is connect them in line with the battery, in such a way that a charge traveling from the high potential end of the battery to its low potential end would have to travel through all three bulbs to get to there. These bulbs are connected in series.

Another way to connect the bulbs is to make them branch off from a common point connected to the high potential of the battery, creating three paths to go from one end of the battery to the other. A charge traveling from the high potential end of the battery to the low potential end would only travel through one of the three branches, and therefore through one of the three bulbs. These bulbs are connected in parallel.

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]