Question

In the capacitor of capacitance $C$, charge $Q$ and energy $W$ is stored. If charge is increased upto $2Q$, the energy stored will be

• A. $\frac{W}{4}$
• B. $\frac{W}{2}$
• C. $2W$
• D. $4W$

Answer 1

Answer: (D)

$4W$

Answer 2

From formula, $W =\frac{Q^{2}}{2 C}$ $W' =\frac{(2 Q)^{2}}{2 C}$ $\Rightarrow W'=4 \frac{Q^{2}}{2 C}$ $\Rightarrow W' =4 W$