lecture17

# lecture17 - EE 205 Coifman Capacitors and Inductors- this...

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EE 205 Coifman 17-1 Capacitors and Inductors- this stuff’s a charge Capacitance, C- relates voltage and stored charge in a capacitor. The unit of capacitance is the farad (F). i C (t) C v C +- q t Cv t C () = () Current and voltage relationships: it dq t dt C dv t dt C C () = () = (1) vt C ix d x CC o C t t o + 1 Power: pt C dv t dt d dt Cv t C C () = () () = 1 2 2 (2) Energy: w t p x dx Cv t C () = () = () 1 2 2 (3)

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EE 205 Coifman 17-2 In summary: 1) The current through the capacitor is zero unless voltage is changing (from (1)). Thus, current is zero for dc voltages (open circuit) 2) The voltage across the capacitor is continuous in time otherwise current and power would have to be infinite at the discontinuity (from (1 and 2)) 3) The capacitor absorbs power from the circuit when storing energy and returns previously stored energy when delivering power. The net energy transfer is non- negative (since (3) can never be negative), thus the capacitor is a passive element
EE 205 Coifman 17-3 Given i C (t), solve for v C (t), p C (t), and w C (t) for a 0.5 µ F Capacitor 0 0

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## This note was uploaded on 07/17/2008 for the course EE 205 taught by Professor Coifman during the Spring '08 term at Ohio State.

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lecture17 - EE 205 Coifman Capacitors and Inductors- this...

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