Question

The energy stored in the capacitor after closing the key K is 

• A. \( \frac{3}{4} CV^2 \)
• B. \( \frac{1}{4} CV^2 \)
• C. \( \frac{1}{2} CV^2 \)
• D. \( CV^2 \)
• E. \( \frac{3}{2} CV^2 \)

Hint:

The energy stored in a capacitor is always given by \( U = \frac{1}{2} C V^2 \), which is derived from the work done to charge the capacitor.

Answer 1

The Correct Option is C

When the key \( K \) is closed, the energy stored in a capacitor is given by the formula: \[ U = \frac{1}{2} C V^2 \] where:
- \( U \) is the energy stored,
- \( C \) is the capacitance of the capacitor,
- \( V \) is the voltage across the capacitor. 
Hence, the energy stored in the capacitor after closing the key \( K \) is \( \frac{1}{2} CV^2 \). 
Therefore, the correct answer is (C).