A battery is connected across three uncharged capacitors arranged in series with…

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Conductors and Capacitors · Conductors and Capacitors

Problem

A 12 V12\,\text{V} battery is connected across three uncharged capacitors arranged in series with capacitances 8.0 μF8.0\,\mu\text{F}, 12 μF12\,\mu\text{F}, and 24 μF24\,\mu\text{F}, respectively. After a long time the circuit reaches electrostatic equilibrium. (a) Calculate the equivalent capacitance of the three–capacitor string. (b) Determine the magnitude of charge stored on each capacitor once equilibrium is reached. (c) Find the potential difference across each capacitor.

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