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RLC Circuit AP Physics C Mrs. Coyle

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RLC circuit In real circuits, there is some resistance, and some energy is lost to internal energy for the resistor (heat). (Some energy is also lost to radiation but this is ignored). Therefore the total energy of the circuit decreases over time similar to damping in a mass-spring system.

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**Assume the capacitor is initially charged and then the switch is closed**

Assume no resistance (no internal energy loss) and no energy losses to radiation The total energy of this system is constant Remember:LC Circuits

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Simulation

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**RLC Circuit The capacitor is charged with the switch at position a.**

At time t = 0, the switch is moved to position b to form the RLC circuit. Kirchhoff’s loop rule:

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RLC Circuit

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Let us examine this LC circuit mathematically. To do this let us examine the energy of the system. Conservation of Energy 2 nd order differential equation.

Let us examine this LC circuit mathematically. To do this let us examine the energy of the system. Conservation of Energy 2 nd order differential equation.

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