The equivalent capacitance of the combination shown in the figure is:

          
1. \(C\)
2. \(2C\)
3. \(\dfrac{C}{2}\)
4. none of these

A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will: 
1. increase
2. decrease
3. remain unchanged
4. become zero

The energy density in the electric field created by a point charge falls off with the distance from the point charge as:
1. \(\dfrac{1}{r}\)

2. \(\dfrac{1}{r^2}\)

3. \(\dfrac{1}{r^3}\)

4. \(\dfrac{1}{r^4}\)

A parallel-plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let Q₊ and Q_- be the charges appearing on the positive and negative plates respectively.

1.  Q₊ > Q_–

2.  Q₊ = Q_– 

3.  Q₊ < Q_-

4.  The information is not sufficient to decide the relation between Q₊ and Q_–

1. \(C/2\)
2. \(2C\)
3. \(0\)
4. \(\infty \)

Two metal plates having charges \(Q,-Q\) face each other at some separation and are dipped into an oil tank. If the oil is pumped out, the electric field between the plates will:
1. increase
2. decrease
3. remain the same
4. become zero

Two metal spheres of capacitances \(C_1\) and \(C_2\) carry some charges. They are put in contact and then separated. The final charges \(Q_1\) and \(Q_2\) on them will satisfy;
1.  \(\dfrac{{Q}_{1}}{{Q}_{2}}<\dfrac{{C}_{1}}{{C}_{2}}\)
2.  \(\dfrac{{Q}_{1}}{{Q}_{2}}=\dfrac{{C}_{1}}{{C}_{2}}\)

3.  \(\dfrac{{Q}_{1}}{{Q}_{2}}>\dfrac{{C}_{1}}{{C}_{2}}\)

4.  \(\dfrac{{Q}_{1}}{{Q}_{2}}<\dfrac{{C}_{2}}{\mathrm{C}_{1}}\)

Three capacitors of capacitances \(6\) µF each are available. The minimum and maximum capacitances, which may be obtained are:
1. \(6~\mu\text{F}, 18~\mu\text{F}\)
2. \(3~\mu\text{F}, 12~\mu\text{F}\)
3. \(2~\mu\text{F}, 12~\mu\text{F}\)
4. \(2~\mu\text{F}, 18~\mu\text{F}\)

The capacitance of a capacitor does not depend on:

Choose the correct option: