Question

A capacitor of capacitance $10\mu F$ is charged to $10V$. The energy stored in it is

• A. $100\mu J$
• B. $500\mu J$
• C. $1000\mu J$
• D. $1\mu J$

Answer 1

The correct option is B $500\mu J$

Given : $C=10\mu F={10}^{-5}F$ $V=10$ volts

Energy stored $E=\frac{1}{2}C{V}^2$

$\therefore$ $E=\frac{1}{2}\times {10}^{-5}\times {10}^2=5\times {10}^{-4}$ $J$

$⟹$ $E=500\mu J$