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

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

The plates of a parallel plate capacitor have an area of \(90\) cm² each and are separated by \(2.5\) mm. The capacitor is charged by connecting it to a \(400\) V supply. How much electrostatic energy is stored by the capacitor?
1. \(1.7\times10^{-6}\) J
2. \(2.12\times10^{-6}\) J
3. \(2.55\times10^{-6}\) J
4. \(1.66\times10^{-6}\) J

A 4 $\mu$F capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 $\mu$F capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?

1. 3.10×10^-2J
2. 3.33×10^-3 J
3.1.23×10^-2 J
4.2.67×10^-2 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:
1. \(\dfrac{1}{2}QE\)
2. \(QE\)
3. \(2QE\)
4. \(0\)