A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery. How much electrostatic energy is stored in the capacitor?
1. \(3.1\times10^{-8}~\text J\)
2. \(2.9\times10^{-8}~\text J\)
3. \(3.3\times10^{-8}~\text J\)
4. \(1.5\times10^{-8}~\text J\)

A \(600~\text{pF}\) capacitor is charged by a \(200~\text V\) supply. It is then disconnected from the supply and is connected to another uncharged \(600~\text{pF}\) capacitor. How much electrostatic energy is lost in the process?
1. \( 5 \times 10^{-6} ~\text J\) 
2. \( 6 \times 10^{-5} ~\text J\) 
3. \( 6 \times 10^{-6} ~\text J\) 
4. \( 5 \times 10^{-5}~\text J\) 

A \(4 ~\mu \text{F}\) capacitor is charged by a \(200 ~\text {V}\) supply. It is then disconnected from the supply and is connected to another uncharged \(2 ~\mu \text{F}\) capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?
1. \(3.10 \times 10^{-2} ~\text {J}\)
2. \(3.33 \times 10^{-3} ~\text {J}\)
3. \(1.23 \times 10^{-2} ~\text {J}\)
4. \(2.67 \times 10^{-2} ~\text {J}\)

If \(Q\) is the charge on the capacitor, and \(E\) is the magnitude of the electric field between the plates. Then force on each plate of a parallel plate capacitor has a magnitude equal to: