Physics 9702 · AS & A Level · Energy stored in a capacitor

Energy stored in a capacitor — practice question

A capacitor is made of two metal plates with an insulator between them, as illustrated in Fig. 3.1. The potential difference across the plates is $V$. Fig. 3.2 shows how the magnitude of the charge $Q$ on one plate varies with $V$.
(a)[3]

Explain why the capacitor stores energy but not charge.

(b(i))[2]

Use Fig. 3.2 to find the capacitance of the capacitor.

(b(ii))[2]

Use Fig. 3.2 to find the loss in energy stored in the capacitor when the potential difference $V$ falls from $10.0\,\text{V}$ to $7.5\,\text{V}$.

(c)[3]

Three capacitors $X$, $Y$ and $Z$, each with capacitance $10\,\mu\text{F}$, are arranged as shown in Fig. 3.3. At first the capacitors are uncharged. A potential difference of $12\,\text{V}$ is then applied between points $A$ and $B$. Determine the magnitude of the charge on one plate of capacitor $X$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The charges on the plates are equal and opposite, so there is no resultant charge

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