DQ5A_solution - Discussion Question 5A P212, Week 5...

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Discussion Question 5A P212, Week 5 Analysis of Capacitor Networks In this discussion question, we will go step-by-step through a classic problem of the type that you will encounter frequently in circuit analysis. But before we attack the full problem, we need to understand the basic concepts of how to analyze capacitors in series and in parallel . (a) The diagram at right shows a battery of voltage V 0 hooked up to two capacitors C 1 and C 2 connected in parallel . Your task is to find the voltage ( Δ V 1 and Δ V 2 ) across each capacitor and the charge ( Q 1 and Q 2 ) on each capacitor. Then you know everything about the circuit! The way to solve this problem is the way to solve all circuit-analysis problems: 1. Combine the two capacitors into one equivalent capacitor C 12 . 2. Find the voltage Δ V 12 and charge Q 12 on this equivalent capacitor. 3. Finally, break up C 12 again, and solve the problem by realizing that the voltage across any elements in parallel is always the same . (Can you explain why?) Δ V 1 = Δ V 2 = V 0 Q 1 = V 0 C 1 Q 2 = V 0 C 2 (b) The diagram at right shows a battery of voltage V 0 hooked up to two capacitors C 1 and C
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This note was uploaded on 06/16/2011 for the course PHYS 212 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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DQ5A_solution - Discussion Question 5A P212, Week 5...

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