Question

A 0.20-μf capacitor is connected to a 300-v battery. What potential energy is stored in the capacitor?

Answer 1

A 0.20-μf capacitor is connected to a 300-v battery, the potential energy is stored in the capacitor will be 9 * $10^{-3}$ J

The energy stored in a capacitor is nothing but the electric potential energy and is related to the voltage and charge on the capacitor. If the capacitance of a conductor is C, then it is initially uncharged and it acquires a potential difference V when connected to a battery.

Its two plates hold opposite charges and the separation between them creates an electric field. That's why a capacitor stores energy.

Capacitance =  0.20 * $10^{-6}$

voltage = 300 V

Potential energy stored in a capacitor = 1/2 *C * $V^{2}$

                                                                = 1/2 * 0.20 * $10^{-6}$ * $(300)^{2}$

                                                                = 9000 *  $10^{-6}$

                                                                 = 9 * $10^{-3}$ J

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