A parallel plate air capacitor has a capacitance of $10^{-9} \; F$. What potential difference is required for a charge of $5 * 10^{-5}\;C$ ? What is the total energy stored in it?

Given,
Capacitance of the Capacitor $(C) = 10^{-9}\;C$
Charge $(q) = 5 * 10^{-5}\;C$
Potential difference $(V) = ?$
Total energy stored $(E) = ?$

Potential difference $V = $ $ \frac{q}{C} = \frac{5 \; * \; 10^{-5}}{10^{-9}} $ $= 5 * 10^4\;V$

Now,
Charge stored in capacitor $(E) = $ $\frac{1}{2}$ $\;C\;*\;V^2 = $ $\frac{1}{2}$ $\;*\;10^{-9} \;*\;(5\;*\;10^4)^2$ $ = 1.25\;J$

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