UPIIfa16Lect14RVBB - RC Circuits Circuits that contain both a resistor R and a capacitor C Lecture 14 RC Circuits(Resistor Capacitor Capacitance

UPIIfa16Lect14RVBB - RC Circuits Circuits that contain both...

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Lecture 14 RC Circuits (R esistor C apacitor) RC Circuits: Circuits that contain both a resistor R and a capacitor C Capacitance integral to electrical circuits because wherever there are conductors, there is capacitance How does a battery charge a capacitor? Charging of a capacitor is not instantaneous. The time it takes to charge the capacitor depends on capacitance and resistance of the charging circuit. Q t Q t Q = C 1 V 1 Q = C 2 V 2 ! V ab + ! V bc + ! V ca = 0 - Q/C 1 - Q/C 2 + V = 0 Capacitors in Series When capacitors are connected in series , they all have the same charge . V is magnitude of potential difference Kirchhoffs loop rule ! " ! $ % & %( ) &( %( &( * + 1 2 Q Q V = + C C eq 1 2 Q Q Q = + C C C eq 1 2 1 1 1 = + C C C Generalizing: (capacitors in series) i eq i 1 1 = C C ! Q 1 = C 1 V Q 2 = C 2 V Q 3 = C 3 V Q 1 + Q 2 + Q 3 = C eq V Charges on individual capacitors are Using Q 1 = C 1 ! V, etc., gives C 1 V + C 2 V + C 3 V = C eq V C 1 + C 2 + C 3 = C eq (after dividing both sides by V) Generalizing: (capacitors in parallel) Capacitors connected in parallel have the same voltage change across each capacitor.
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