Physics 9702 · AS & A Level · Capacitors and capacitance

Capacitors and capacitance — practice question

Capacitors P and Q, each with capacitance $C$, are linked in series to a battery of e.m.f. $9.0\,\text{V}$, as illustrated in Fig. 6.1. A switch $S$ is used to place either a third capacitor $T$, which also has capacitance $C$, or a resistor $R$, in parallel with capacitor P.
(a(i))[2]

With switch $S$ at X, Calculate the combined capacitance, in terms of $C$, for the three capacitors.

(a(ii))[2]

With switch $S$ at X, Calculate the potential difference across capacitor Q. Explain your working.

(b)[4]

When switch $S$ is moved to position Y, State what happens to the potential difference across capacitor P and across capacitor Q.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence, $1/T = 1/(2C) + 1/C$

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