A student investigates a circuit containing capacitors. The circuit is connected with a capacitor of capacitance $$\(A\)$$, as shown in Fig. 2.1. Two capacitors, each of capacitance $$\(C\)$$, are connected in parallel between $$\(P\)$$ and $$\(Q\)$$. Initially, switch X and switch Z are closed and switch Y is open. Switches X and Z are opened. Switch Y is then closed. The maximum potential difference between $$\(P\)$$ and $$\(Q\)$$ is measured using the voltmeter. This procedure is repeated and the mean maximum potential difference $$\(V\)$$ between $$\(P\)$$ and $$\(Q\)$$ is determined. The experiment is then repeated by changing the number $$\(n\)$$ of capacitors, each of capacitance $$\(C\)$$, connected in parallel between P and Q . It is suggested that $$\(V\)$$ and $$\(n\)$$ are related by the equation $$\[ E A=V(n C+A) \]$$ where $$\(E\)$$ is the electromotive force (e.m.f.) of the battery. （c）（i）Plot a graph of $$\(\frac{1}{V} / \mathrm{V}^{-1}\)$$ against $$\(n\)$$ ．Include error bars for $$\(\frac{1}{V}\)$$ ． ［2］ （ii）Draw the straight line of best fit and a worst acceptable straight line on your graph．Label both lines． ［2］ （iii）Determine the gradient of the line of best fit．Include the absolute uncertainty in your answer． gradient = ...................................................... （iv）Determine the $$\(y\)$$－intercept of the line of best fit．Include the absolute uncertainty in your answer． $$\[ y \text {-intercept = } \]$$ ......................................................

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