A capacitor has a capacitance of 5 microfarad. What is the stored energy in the capacitor, if DC voltage of 100 V is applied across it?

Correct option is D

​​Given Data:

$$C = 5.0 \,\mu F = 5 \times 10^{-6} \,F$$ , $$V = 100 \,V$$

Formula for Energy Stored in a Capacitor:

$$U = \frac{1}{2} C V^2$$

$$U = \frac{1}{2} \times 5 \times 10^{-6} \times (100)^2$$

$$U = \frac{1}{2} \times 5 \times 10^{-6} \times 10^4$$

$$U = 2.5 \times 10^{-2} \,J$$​​​​​​