
A capacitor of capacitance
is connected into the circuit shown in the figure below.
When the two-way switch is in position A, the capacitor is charged so that the potential difference across it is
. The switch moves to position B and the capacitor fully discharges through the sensitive ammeter. The switch moves repeatedly between A and B so that the capacitor charges and then discharges with frequency
.
Show that the average current
in the ammeter is given by the expression

For a potential difference
of
and a frequency
of
, the average current in the ammeter is
. Calculate the capacitance, in
, of the capacitor.
A second capacitor, having the same capacitance as the capacitor in (a), is connected into the circuit in the figure above. The two capacitors are connected in series. State and explain the new reading on the ammeter.