(a(i))[1]
Define the term capacitance.
(a(ii))[2]
Use the expression for the electric potential due to a point charge to demonstrate that an isolated metal sphere with diameter $25\,\text{cm}$ has capacitance $1.4 \times 10^{-11}\,\text{F}$.
(b(i))[1]
Three capacitors with capacitances $2.0\,\mu\text{F}$, $3.0\,\mu\text{F}$ and $4.0\,\mu\text{F}$ are arranged as shown in Fig. 7.1 and connected to a battery of e.m.f. $9.0\,\text{V}$. Determine the total capacitance of the three capacitors.
(b(ii))[2]
Determine the potential difference across the capacitor of capacitance $3.0\,\mu\text{F}$.
(b(iii))[2]
Determine the positive charge stored on the capacitor of capacitance $2.0\,\mu\text{F}$.