07 - Capacitors and Inductors

07 - Capacitors and Inductors - EECS 215 Capacitors and...

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EECS 215 Capacitors and Inductors J. Phillips EECS 215
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J. Phillips EECS 215 Capacitors Passive element that stores energy in electric field Cv q = Parallel plate capacitor d A C ε = dt dv C i = () 0 o 1 t v dt i C v t t + = For DC, capacitor looks like open circuit voltage on capacitor must be continuous (no abrupt change) What is the energy stored in a capacitor? J. Phillips EECS 215 Capacitors In Parallel Apply KCL N eq C C C C C + + + + = ... 3 2 1 N i i i i i + + + + = ... 3 2 1 dt dv C dt dv C dt dv C dt dv C i N + + + + = ... 3 2 1 dt dv C i N k k = = 1
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J. Phillips EECS 215 Capacitors In Series Apply KVL N eq C C C C C 1 ... 1 1 1 1 3 2 1 + + + + = N v v v v v + + + + = ... 3 2 1 () ( ) ... 1 1 0 2 2 0 1 1 0 0 + + + + = t v dt t i C t v dt t i C v t t t t 0 1 0 1 t v dt t i C v t t N k k + = = How do the voltages across each capacitor relate? J. Phillips EECS 215 Inductors Passive element that stores energy in magnetic field dt di L v = 0 o 1 t i dt t v L i t t + = Opposes change in current In DC, looks like a short circuit
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07 - Capacitors and Inductors - EECS 215 Capacitors and...

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