Two ideal parallel-plate capacitors with capacitances and are connected in series to…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two ideal parallel-plate capacitors with capacitances 2 μF2\,\mu\text{F} and 6 μF6\,\mu\text{F} are connected in series to a 24 V24\,\text{V} ideal battery and allowed to reach steady state. Which of the following correctly compares the potential differences and the energies stored in the two capacitors? (a) The 2 μF2\,\mu\text{F} capacitor has the greater potential difference, but both capacitors store the same energy. (b) The 6 μF6\,\mu\text{F} capacitor has the greater potential difference and stores more energy than the 2 μF2\,\mu\text{F} capacitor. (c) The 2 μF2\,\mu\text{F} capacitor has the greater potential difference and stores more energy than the 6 μF6\,\mu\text{F} capacitor. (d) Both capacitors have the same potential difference, and the 6 μF6\,\mu\text{F} capacitor stores more energy.

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