The variation with potential difference of the charge
on one of the plates of a capacitor is shown in the graph below.
The capacitor is connected to an power supply and two resistors
and
as shown in the figure below.
The resistance of is
and the resistance of
is
. The switch can be in either position X or position Y.
The switch is moved to position Y.
Show that the time constant of the discharge circuit is .
The fully charged capacitor in the figure above stores energy . Determine the time
taken for the stored energy to decrease from
to
.
A second identical capacitor is connected in parallel with the first capacitor. State and explain the change, if any, to the time constant of the discharge circuit.