A 5.0 ?F capacitor has a potential difference of $5.0 \mathrm {~V}$ applied across its plates. If the potential difference across its plates is increased to $8.0 \mathrm {~V}$ how much additional energy does the capacitor store?

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Quizplus · Accepted Answer

The energy stored in a capacitor is given by the equation:$$E = \frac{1}{2}CV^2$$where:* E is the energy stored in joules (J)* C is the capacitance in farads (F)* V is the potential difference in volts (V)If the potential difference across the capacitor is increased from 5.0 V to 8.0 V, the additional energy stored in the capacitor is:$$E_{additional} = \frac{1}{2}C(V_2^2 - V_1^2)$$$$E_{additional} = \frac{1}{2}(5.0 \mu F)((8.0 V)^2 - (5.0 V)^2)$$$$E_{additional} = 98 \mu J$$Therefore, the additional energy stored in the capacitor is 98 ?J.

A 50 ?F Capacitor Has a Potential Difference Of Of 5.0