A \(12~\text{pF}\) capacitor is connected to a \(50~\text{V}\) battery. How much electrostatic energy is stored in the capacitor?
1. \(3.0 \times 10^{-9}~\text J\)
2. \(6.0 \times 10^{-9}~\text J\)
3. \(1.5 \times 10^{-8}~\text J\)
4. \(3.0 \times 10^{-8}~\text J\)

 

Given,

Capacitance of the capacitor, C = 12pF = 12 x 10-12 F

Potential difference, V = 50 V

Electrostatic energy stored in the capacitor is given by the relation,

E=12CV2=12×12×1012×(50)2J=1.5×108J

Therefore, the electrostatic energy stored in the capacitor is 1.5 x 10-8 J. was disconnected.