http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Jake.sebring 2026-05-06T12:00:41Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20044 2015-12-06T14:08:48Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation:<br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||right]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[example.png|250px|right]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=File:Example.png&diff=20043 2015-12-06T14:08:12Z

<p>Jake.sebring: </p> <hr /> <div></div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20042 2015-12-06T14:03:31Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation:<br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||right]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20041 2015-12-06T14:02:58Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation:<br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||right]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20040 2015-12-06T14:02:33Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation:<br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20039 2015-12-06T14:02:02Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation:<br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law.<br /> <br /> In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20038 2015-12-06T14:01:22Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' <br /> Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> '''''I = (Emf_battery/R)*[1-e^-(R/L)t]''''' <br /> <br /> <br /> At t &gt;&gt; 0, '''''I = (Emf_battery/R)''''' <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20037 2015-12-06T13:59:48Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> If the circuit contained only a resistor and battery, the current would build up much quicker. So, it is fair to state that the inductor opposes the buildup of current as described by Lenz's Law. In order to characterize the amount of time it takes for the current to build up, there is a time constant that is calculated as L/R. At this time point, the exponential factor is proven to be 1/e = 0.37. <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20035 2015-12-06T13:54:13Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20034 2015-12-06T13:53:37Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|250px||left]]<br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20033 2015-12-06T13:51:36Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> [[File:Current.png|left]]<br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> 3. http://www.physics.sjsu.edu/becker/physics51/31_08_R-L_circuit_i_vs_t.JPG<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=File:Current.png&diff=20032 2015-12-06T13:49:46Z

<p>Jake.sebring: </p> <hr /> <div></div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20031 2015-12-06T13:49:29Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> Given this inductor effect, the inductor causes the current to slowly build up to the steady-state. This is clear in the graph of current versus time below. <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20030 2015-12-06T13:45:48Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. <br /> <br /> Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. <br /> <br /> [[File:Savary.png|200px|right]]<br /> <br /> In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20029 2015-12-06T13:44:35Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20028 2015-12-06T13:40:38Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20027 2015-12-06T13:39:42Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> <br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> <br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> <br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20026 2015-12-06T13:38:52Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> <br /> <br /> 2. How is it connected to your major?<br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> <br /> <br /> 3. Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20025 2015-12-06T13:38:23Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> 1. How is this topic connected to something that you are interested in?<br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> 2. How is it connected to your major?<br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> 3. Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20024 2015-12-06T13:38:00Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #1. How is this topic connected to something that you are interested in?<br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> #2. How is it connected to your major?<br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> #3. Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|right]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html] Resistor-Inductor AC Behavior<br /> <br /> ==References==<br /> <br /> 1. http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> 2. http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20023 2015-12-06T13:36:06Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = (Emf_battery/R)*[1-e^-(R/L)t].''''' Thus, I = Emf_battery / R for big values of t, when the circuit exhibits a steady-state current. At this later time, the circuit would behave as if the inductor is not present because the inductor is no longer producing emf, and there is no flux. <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> It is interesting that the presence of the inductor in the RL circuit can cause certain negative effects such as a spark that is created when opening the switch after a long period of time. <br /> #How is it connected to your major?<br /> This is relevant to biomedical engineering because the behavior of the current in the RL circuit can be useful in several applications where the medical device needs to communicate to a remote data collector in order to transmit medical data through a radio frequency.<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|left]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlimp.html]<br /> <br /> <br /> ==References==<br /> <br /> 1. [http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee]<br /> 2. [http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf]<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20022 2015-12-06T13:25:42Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: '''''I = emf_battery/R [1-e^-(R/L)t''''' <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|200px|left]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20021 2015-12-06T13:22:20Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]] <br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. Assume that the circuit diagram is reflecting the state of the circuit some amount of time after the closing of a switch, where time = 0 seconds at the close of the switch. Under this assumption, the current, I, in the RL circuit can be modeled using the equation: I = emf_battery <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|300px|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=20020 2015-12-06T13:13:30Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. RL circuit in both series and parallel<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Savary.png|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=File:Savary.png&diff=20019 2015-12-06T13:12:45Z

<p>Jake.sebring: </p> <hr /> <div></div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19957 2015-12-06T05:20:41Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. RL circuit in both series and parallel<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Felix Savary.jpg|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19956 2015-12-06T05:20:14Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. RL circuit in both series and parallel<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in. [[File:Felix Savary.png|right]]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19955 2015-12-06T05:17:41Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. RL circuit in both series and parallel<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19953 2015-12-06T05:16:42Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current or voltage source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> The three basic elements of an electrical circuit are the resistor, R, inductor, L, and capacitor, C. There are four unique combinations of these elements - the RL, LC, RC, and RLC circuit. Each circuit behaves slightly different in order to act as a passive filter to significantly contribute to electronics. RL circuit in both series and parallel<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> A common industrial application of the RL circuit is as a direct current power supply to radio frequency amplifiers. In this case, the inductor is needed to block the radio frequency from returning to the power supply.<br /> <br /> ==History==<br /> <br /> A French scientist, Felix Savary, was the first to discover the electrical oscillations of a capacitor. This discovery was made during an experiment where there was a needle with a piece of wire wrapped around it. Savary observed that the needle move back and forth. Felix hypothesized that this effect occurred because of a current in the wire. The current caused oscillations which magnetized the needle back and forth until the current decreases. In the end of the 19th century, this theory was put into use in radio transmitters that allowed the receiver to be tuned in.<br /> <br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19949 2015-12-06T05:14:11Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> http://www.physics.rutgers.edu/ugrad/205/manuals/am.pdf<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=19948 2015-12-06T05:12:52Z

<p>Jake.sebring: </p> <hr /> <div>A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14503 2015-12-05T18:01:07Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source such as a battery. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14498 2015-12-05T17:57:35Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> <br /> <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14497 2015-12-05T17:57:16Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' <br /> '''''Emf_battery - RI - L(dI/dt) = 0'''''<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14493 2015-12-05T17:53:54Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Simple Circuits]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14490 2015-12-05T17:53:20Z

<p>Jake.sebring: /* References */</p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://cnx.org/contents/7025ec30-2efe-449f-8475-089c3063433f@3.1:9/MATH-1508-(Laboratory)-Enginee<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14489 2015-12-05T17:52:20Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14484 2015-12-05T17:51:33Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14483 2015-12-05T17:50:55Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> 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]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14482 2015-12-05T17:49:39Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px|right]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14480 2015-12-05T17:49:17Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|300px]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14479 2015-12-05T17:48:51Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|400px]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14477 2015-12-05T17:48:36Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png|500px]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14474 2015-12-05T17:46:32Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL Circuit.png]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=File:RL_Circuit.png&diff=14472 2015-12-05T17:45:51Z

<p>Jake.sebring: </p> <hr /> <div></div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14461 2015-12-05T17:42:55Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: '''''ΔV_battery + ΔV_resistor + ΔV_inductor = 0''''' [[File:RL circuit.png]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14456 2015-12-05T17:41:57Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. The energy conservation equation for a RL circuit is typically of the form: ''ΔV_battery + ΔV_resistor + ΔV_inductor = 0'''''Bold text''' [[File:RL circuit.png]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14425 2015-12-05T17:35:57Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. [[File:RL circuit.png]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=File:RL_circuit.png&diff=14418 2015-12-05T17:34:25Z

<p>Jake.sebring: </p> <hr /> <div></div>

Jake.sebring http://www.physicsbook.gatech.edu/index.php?title=Current_in_a_RL_Circuit&diff=14413 2015-12-05T17:33:42Z

<p>Jake.sebring: </p> <hr /> <div>Claimed by Jake Sebring on December 3, 2015 at 11:10 AM<br /> <br /> A resistor-inductor circuit is an electric circuit that contains both a resistor, R, and an inductor, L, and is powered by a current source. [[File:RL.jpg]]<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jake.sebring