A capacitor of 100 μF is connected to a 10 V battery. What is the energy stored in the capacitor?

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Multiple Choice

A capacitor of 100 μF is connected to a 10 V battery. What is the energy stored in the capacitor?

Explanation:
The energy stored in a capacitor is found with U = 1/2 C V^2. Here, C = 100 μF = 100 × 10^-6 F = 1.0 × 10^-4 F and V = 10 V, so V^2 = 100. Plugging in gives U = 0.5 × (1.0 × 10^-4) × 100 = 0.5 × 1.0 × 10^-2 = 5.0 × 10^-3 J, which is 0.005 J.

The energy stored in a capacitor is found with U = 1/2 C V^2. Here, C = 100 μF = 100 × 10^-6 F = 1.0 × 10^-4 F and V = 10 V, so V^2 = 100. Plugging in gives U = 0.5 × (1.0 × 10^-4) × 100 = 0.5 × 1.0 × 10^-2 = 5.0 × 10^-3 J, which is 0.005 J.

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