Question

When a potential V is applied across a capacitor, a charge q is stored. What charge is stored if the potential across the capacitor is halved

Answer 1

Answer:

q' = 0.5q

Hence, the charge stored is also halved

Explanation:

The capacitance of a capacitor is given by the following formula:

$C = \frac{q}{V}$ ------- eqn(1)

where,

C = Capacitance of the capacitor

q = charge stored in the capacitor

V = potential across the capacitor

Now, if we make potential half of its initial value:

$C = \frac{q'}{0.5V}\\\\CV = 2q'\\using\ eqn(1):\\\frac{q}{V}(V) = 2q'$

q' = 0.5q

Hence, the charge stored is also halved