Two concentric conducting spherical shells carry charge \(Q\) each. The inner shell is earthed. The charge that flows into the earth is:

1.	\(Q\)	2.	\(\frac{3Q}{2}\)
3.	\(\frac{-Q}{2}\)	4.	\(\frac{-3Q}{2}\)

The equivalent capacitance between the points \(A\) and \(B\) in the given network is:

1. \(25~\mu\text{F}\)
2. \(16~\mu\text{F}\)
3. \(21~\mu\text{F}\)
4. \(12~\mu\text{F}\)

Five equal capacitors connected in series have a resultant capacitance of \(4~\mu\text{F}\). The total energy stored in these when these are connected in parallel and charged to \(400\) V is:
1. \(1~\text{J}\)
2. \(8~\text{J}\)
3. \(16~\text{J}\)
4. \(4~\text{J}\)

Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of \(V_0\) volt. If one of the capacitors is completely immersed in a liquid with dielectric constant \(K\), the potential difference between the plates of the other capacitor will change to:

1. \(\frac{K +   1}{K} V_{0}\)

2. \(\frac{K}{K +   1} V_{0}\)

3. \(\frac{K +   1}{2 K} V_{0}\)

4. \(\frac{2 K}{K +   1} V_{0}\)

A parallel plate air capacitor has a capacity of \(C\), the distance of separation between plates is \(d\) and potential difference \(V\) is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is:

In the given circuit if point \(C\) is connected to the earth and a potential of \(+2000~\text{V}\) is given to the point \(A\), the potential at \(B\) is:
             

The figure shows some of the equipotential surfaces. The magnitude and direction of the electric field are given by:

When a negative charge is released and moves in the electric field, it moves towards a position of:

In the given figure if \(V = 4~\text{volt}\) each plate of the capacitor has a surface area of\(10^{-2}~\text{m}^2\) and the plates are$\mathrm{}$ \(0.1\times10^{-3}~\text{m}\)apart, then the number of excess electrons on the negative plate is: