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Unformatted text preview: Capacitors and Resistors Capacitors in Series: Suppose we have capacitors C 1 , C 2 , ...., C N connected in se- ries . Then the equivalent capacitance C eq of the combination is related to the individual capacitances by 1 C eq = N X j =1 1 C j Also, each capacitor stores the same charge. That is, Q 1 = Q 2 = ..... = Q N = Q The total potential drop Δ V across all N capacitors is the sum of the voltage drop Δ V j across each capacitor C j . Δ V = N X j =1 Δ V j = N X j =1 Q C j Capacitors in Parallel: Suppose we have capacitors C 1 , C 2 , ...., C N connected in par- allel . Then we have N parallel circuit branches, where each capacitor occupies its own branch. Then the equivalent capacitance C eq of the combination is related to the individual capacitances by C eq = N X j =1 C j Also, each capacitor stores a different amount of charge, but the potential drop across each capacitor is the same. That is, Δ V 1 = Δ V 2 = ..... = Δ V N = Δ V Q 1 C 1 = Q 2 C 2 = .... = Q N C N where Q j is the charge stored in capacitor C j , and Δ V is the potential drop across each capacitor. This follows from the loop law, which says that for any closed loop in a circuit, the total potential drop around the loop must be zero....
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This note was uploaded on 01/29/2010 for the course PHYSICS 6B 318036810 taught by Professor Waung during the Spring '09 term at UCLA.
- Spring '09