A multiloop circuit of resistors, capacitors, and batteries is switched on at t = 0, at which time all the capacitors are uncharged. The initial distribution of currents and potential differences in the circuit can be analyzed by treating the capacitors as if they were connecting wires or closed switches. The final distribution of currents and potential differences, which occurs after a long time has passed, can be analyzed by treating the capacitors as open segments or open switches. Explain why these tricks work.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 68AP: A circuit contains a D-cell battery, a switch, a 20- resistor, and three 20-mF capacitors. The...
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A multiloop circuit of resistors, capacitors, and batteries is switched on at t = 0, at which time all the capacitors are uncharged. The initial distribution of currents and potential differences in the circuit can be analyzed by treating the capacitors as if they were connecting wires or closed switches. The final distribution of currents and potential differences, which occurs after a long time has passed, can be analyzed by treating the capacitors as open segments or open switches. Explain why these tricks work.

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