
Three capacitors of capacitances
,
and
are initially uncharged. They are then connected in series to a battery, as shown in the figure below.
The battery applies a potential difference
across the three capacitors. Show that the combined capacitance
of the capacitors is given by

A battery of e.m.f.
and negligible internal resistance is connected to a network of two capacitors and a resistor, as shown in the figure below.
The capacitors have capacitances of
and
. The switch has two positions, A and B. The switch is moved to position A. Calculate:
the combined capacitance of the two capacitors,
the charge on the
capacitor
the potential difference across the
capacitor.