Physics Book - User contributions [en]

Node Rule

2015-12-06T04:25:59Z

Shannongerhard:

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Ex. 1===

Below is a node in a circuit. I1 is equal to 10 amps. I2 is equal to 4 amps. What is I3?

[[File: Node_comp.gif]]

You can solve for I3 using the node rule. The current flowing into the node is I1, or 10 amps, and the current flowing out of the node is 12 + I3. We know that the current flowing in must equal the current flowing out, so 10 amps = 4 amps + I3. Therefore I3 must equal 6 amps.

===Ex. 2===

In the picture below, I1 equal 23 amps, I2 equals 5 amps and I3 equals 42 amps. What is I4?

[[File: Middlenode.gif]]

The current flowing into the node is I1 + I2, or 23 amps plus 5 amps, or 28 amps. The current flowing out of the node is I3 + I4, or 42 amps plus I4. Applying the node rule, 28 amps = 42 amps + I4. So I4 equals -14 amps. But how could we get a negative current? The answer is there is not an actual negative current in the wire, that would be physically (get it, haha) impossible. However, we guessed the direction of I4 wrong. The current is not flowing out of the node, but actually into the node.

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-06T03:59:16Z

Shannongerhard: /* Middling */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

Below is a node in a circuit. I1 is equal to 10 amps. I2 is equal to 4 amps. What is I3?

[[File: Node_comp.gif]]

You can solve for I3 using the node rule. The current flowing into the node is I1, or 10 amps, and the current flowing out of the node is 12 + I3. We know that the current flowing in must equal the current flowing out, so 10 amps = 4 amps + I3. Therefore I3 must equal 6 amps.

===Middling===

In the picture below, I1 equal 23 amps, I2 equals 5 amps and I3 equals 42 amps. What is I4?

[[File: Middlenode.gif]]

The current flowing into the node is I1 + I2, or 23 amps plus 5 amps, or 28 amps. The current flowing out of the node is I3 + I4, or 42 amps plus I4. Applying the node rule, 28 amps = 42 amps + I4. So I4 equals -14 amps. But how could we get a negative current? The answer is there is not an actual negative current in the wire, that would be physically (get it, haha) impossible. However, we guessed the direction of I4 wrong. The current is not flowing out of the node, but actually into the node.

===Difficult===

[[File: Hardnode.gif]]

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-06T03:30:29Z

Shannongerhard: /* Examples */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

Below is a node in a circuit. I1 is equal to 10 amps. I2 is equal to 4 amps. What is I3?

[[File: Node_comp.gif]]

You can solve for I3 using the node rule. The current flowing into the node is I1, or 10 amps, and the current flowing out of the node is 12 + I3. We know that the current flowing in must equal the current flowing out, so 10 amps = 4 amps + I3. Therefore I3 must equal 6 amps.

===Middling===

[[File: Middlenode.gif]]

===Difficult===

[[File: Hardnode.gif]]

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

File:Hardnode.gif

2015-12-06T03:23:33Z

Shannongerhard:

File:Middlenode.gif

2015-12-06T03:23:16Z

Shannongerhard:

Node Rule

2015-12-06T03:15:42Z

Shannongerhard: /* Simple */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

Below is a node in a circuit. I1 is equal to 10 amps. I2 is equal to 4 amps. What is I3?

[[File: Node_comp.gif]]

You can solve for I3 using the node rule. The current flowing into the node is I1, or 10 amps, and the current flowing out of the node is 12 + I3. We know that the current flowing in must equal the current flowing out, so 10 amps = 4 amps + I3. Therefore I3 must equal 6 amps.

===Middling===

===Difficult===

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-06T03:15:23Z

Shannongerhard: /* Simple */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

Below is a node in a circuit. I1 is equal to 10 amps. I2 is equal to 4 amps. What is 13?
[[File: Node_comp.gif]]

You can solve for I3 using the node rule. The current flowing into the node is I1, or 10 amps, and the current flowing out of the node is 12 + I3. We know that the current flowing in must equal the current flowing out, so 10 amps = 4 amps + I3. Therefore I3 must equal 6 amps.

===Middling===

===Difficult===

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-06T03:08:36Z

Shannongerhard: /* Simple */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

[[File: Node_comp.gif]]

===Middling===

===Difficult===

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-06T02:55:22Z

Shannongerhard:

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Examples==
===Simple===

===Middling===

===Difficult===

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-05T04:51:48Z

Shannongerhard: /* Solving Circuits */

claimed by Shannon Gerhard

==Definition==

The node rule is one of Kirchhoff's laws regarding circuits and current. This law states that at any junction in an electrical circuit, the amount of current flowing into the junction is equal to the amount of current flowing out of the junction. This law is also referred to as Kirchhoff's junction rule, Kirchhoff's nodal rule, Kirchhoff's current law, and Kirchhoff's first law. This rule is an application of the conservation of electric charge, basically that charge within a circuit cannot be created or destroyed.

Mathematically, the Node Rule states ∑ I = 0, where I stands for the current of the individual parts or wires in a circuit.

===Kirchhoff's Laws===

Kirchhoff developed two very important rules that allow us to "solve" simple circuits, or find out different values for the different components involved in the circuit. The node rule is Kirchhoff's first rule, but there is one more, called the loop rule or Kirchhoff's Voltage Law. The loop rule states that, going around in a loop within a circuit, one will find that the voltages around the loop will sum to 0. Because voltage is just energy per unit charge, and both energy and charge are conserved, this is basically stating that no charge or energy is lost or created within the circuit. Both of Kirchhoff's Laws are very important to solving circuits and you can click here to learn more about the loop rule.

==Limitations==
===Time-Varying Currents===

Kirchhoff's law is based off the conservation of charge along with the nature of conductors. This law assumes that current will immediately flow from one end of the conductor to the other, which may not be true for time-varying currents, especially with higher frequencies.

===Regions vs Circuits===

Throughout a region, the charge can vary and be non-uniform, unlike in a wire. According to the law of conservation of charge, the only way to have a non-uniform charge density is if there is a net flow of current in or out of the region, which clearly violates the Node Rule. Therefore the node rule cannot be applied to regions with non-uniform charge densities. When looking at a junction in an electric circuit, we are looking at a point and therefore the point (which is infinitesimally small) must have a uniform charge distribution. In general, wires should have a uniform charge distribution across their length, because they are conductors and allow for the movement of charge.

==Other Topics==

===Solving Circuits===

In order to solve circuits, we must first define a couple characteristics of circuits.

* The voltage of a (perfect, or non-resistive) wire is equal to its length (in meters) times its electric field.

* The voltage of an ohmic resistor (including a resistive wire) is equal to current times resistance.

* The voltage of a capacitor is equal to the charge on the capacitor divided by its capacitance.

There are other characteristics and equations that may be useful, but these two are the most important and used. If you are confused by any of the components of circuits mentioned above, visit the "Components" page.
Below is a circuit. Using the node and loop rules we will find the current at points a, b, c, d, and e, and the charge on the capacitor after the switch has been closed for a very long time.

[[File:1Circuit.jpg]]

First you must realize that when the capacitor is fully charged, no current will flow through the capacitor. To understand why, visit the "Capacitors" page. From this we can say that the current through point c is 0.

Using the node rule, we can see that the current through resistor 1 and resistor 2 must be the same because, since no current flows through the wire connected the capacitor, all of the current must flow through one loop containing both resistors. So the current at a, b, d and e must all be the same. Due to the loop rule, the emf of the battery must be equal to I*R1 + I*R2. Therefore, I = emf/(R1 + r2); this is the current through points a, b, d and e. Using the loop rule, we can look at the loop containing the capacitor and resistor 2. We know the voltage in resistor 2 is equal to I*R2. We know the voltage of the capacitor is equal to its charge divided by C (its capacitance). Because of the loop rule, we know that these two voltages must be equal, so I*R2 = Q/C. Therefore, Q = I*R2*C. Replacing I with the current we found above, Q = (emf/(R1 + R2))*R2*C. As you can see, in order to solve this circuit, we had to use the node rule. In fact, we used the node rule at the very beginning of solving this circuit and there was no way possible we could have solved this problem without the node rule.

===History===

Gustav Kirchhoff was a German physicist who lived during the 19th century. There are many equations and laws named after him that he helped to discover, one of them being the node rule. His circuit laws (the node rule and loop rule) were the first laws that he conceived, and he actually did this during his years in school and later wrote his doctoral dissertation on them. He created these laws in a time where electricity was a fairly new and was not commonly used.

===Connectedness===

The Node Rule is connected to a lot of other topics in physics. The loop rule is the most important one, as the node rule and loop rule in conjunction allow us to solve circuits. The node rule is also connected to other concepts such as voltage, current and electricity. See the "Further Reading" section to read more on these topics.

== See Also ==

===Further Reading===

*[[Loop Rule]]

*[[Components]]

*[[Circular Loop of Wire]]

*[[Resistors and Conductivity]]

*[[Current]]

===External Links===

https://www.boundless.com/physics/textbooks/boundless-physics-textbook/circuits-and-direct-currents-20/kirchhoff-s-rules-152/the-junction-rule-539-6331/

https://en.wikipedia.org/wiki/Kirchhoff%27s_circuit_laws#Kirchhoff.27s

==References==

Matter & Interactions 4th Edition by Ruth W. Chabay & Bruce A. Sherwood

Node Rule

2015-12-05T04:21:36Z

Shannongerhard: /* Solving Circuits */

File:1Circuit.jpg

2015-12-05T04:16:36Z

Shannongerhard:

Node Rule

2015-12-05T04:15:15Z

Shannongerhard: /* Solving Circuits */

Node Rule

2015-12-05T03:59:44Z

Shannongerhard: /* Solving Circuits */

Node Rule

2015-12-05T03:52:18Z

Shannongerhard: /* Connectedness */

Node Rule

2015-12-05T03:51:59Z

Shannongerhard: /* Connectedness */

Node Rule

2015-12-05T03:41:29Z

Shannongerhard: /* History */

Node Rule

2015-12-05T03:23:18Z

Shannongerhard: /* References */

Components

2015-12-01T21:52:47Z

Shannongerhard: /* The Main Idea */

This page covers basic electronic components such as resistors, capacitors, and batteries.

claimed by [[User:Bradleyarg|Bradleyarg]]

==The Main Idea==
There are 5 basic components need for the class:

Batteries:

Resistors:

Capacitors:

Switches:

Node:

State, in your own words, the main idea for this topic

===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?]]

Node Rule

2015-12-01T21:51:48Z

Shannongerhard: /* Further Reading */

Node Rule

2015-12-01T21:50:35Z

Shannongerhard: /* Further Reading */

Node Rule

2015-12-01T21:50:14Z

Shannongerhard: /* Further Reading */

Node Rule

2015-12-01T21:47:25Z

Shannongerhard:

Node Rule

2015-12-01T21:41:38Z

Shannongerhard: /* See Also */

Node Rule

2015-12-01T21:41:22Z

Shannongerhard: /* See Also */

Node Rule

2015-12-01T21:38:23Z

Shannongerhard: /* Kirchhoff's Laws */

Node Rule

2015-12-01T20:54:29Z

Shannongerhard: /* External Links */

Node Rule

2015-12-01T20:51:28Z

Shannongerhard: /* Limitations */

Node Rule

2015-12-01T20:32:06Z

Shannongerhard: /* External Links */

Node Rule

2015-12-01T20:31:28Z

Shannongerhard: /* Definition */

Node Rule

2015-11-06T17:01:28Z

Shannongerhard:

claimed by Shannon Gerhard

==Definition==

===Kirchhoff's Laws===

==Limitations==
===Time-Varying Currents===
===Maxwell's Equations===

==Other Topics==

===Solving Circuits===

===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?

===External Links===

Internet resources on this topic

==References==

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

Node Rule

2015-11-06T16:51:49Z

Shannongerhard:

claimed by Shannon Gerhard

==Definition==

State, in your own words, the main idea for this topic

===Limitations===

==Other Topics==

===Solving Circuits===
#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?

===External Links===

Internet resources on this topic

==References==

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

Node Rule

2015-10-27T20:12:18Z

Shannongerhard: Created page with "claimed by Shannon Gerhard"

claimed by Shannon Gerhard

Main Page

2015-10-27T20:11:45Z

Shannongerhard: /* Simple Circuits */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Fundamental Interactions]]

*[[System & Surroundings]]

</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Charge]]
*[[Spin]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* Vectors
* Kinematics
* Predicting Change in one dimension
* Predicting Change in multiple dimensions
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Angular Momentum===
<div class="mw-collapsible-content">
* The Moments of Inertia
* Rotation
* Torque
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*Potential Energy
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Charged Rod]]
** [[Charged Loop]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
*[[Magnetic Field]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*Steady State
*Non Steady State
*[[Node Rule]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**Electric Fields
**Magnetic Fields
*Faraday's Law
*Ampere-Maxwell Law
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]

Main Page

2015-10-27T20:11:14Z

Shannongerhard: /* Simple Circuits */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Fundamental Interactions]]

*[[System & Surroundings]]

</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Charge]]
*[[Spin]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* Vectors
* Kinematics
* Predicting Change in one dimension
* Predicting Change in multiple dimensions
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Angular Momentum===
<div class="mw-collapsible-content">
* The Moments of Inertia
* Rotation
* Torque
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*Potential Energy
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Charged Rod]]
** [[Charged Loop]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
*[[Magnetic Field]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*Steady State
*Non Steady State
*Node Rule
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**Electric Fields
**Magnetic Fields
*Faraday's Law
*Ampere-Maxwell Law
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]