A thin metal plate P is inserted between the plates of a parallel-plate capacitor of capacitance \(C\) in such a way that its edges touch the two plates (shown in the figure). The capacitance now becomes:

      

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:

A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?

 
Choose the correct option:
1. (a), (b)
2. (b) only
3. (c), (a)
4. (a), (d)

Choose the correct option:

Each plate of a parallel plate capacitor has a charge q on it. The capacitor is now connected to a battery. Now,

(a) the facing surfaces of the capacitor have equal and opposite charges.

(b) the two plates of the capacitor have equal and opposite charges.

(c) the battery supplies equal and opposite charges to the two plates.

(d) the outer surfaces of the plates have equal charges

Choose the correct option 

1.  (a) , (b) , (c)

2. (b) , (c) , (a) 

3. (c) , (d) , (a) 

4. (a) , (c) , (d) 

The separation between the plates of a charged parallel- plate capacitor is increased. Which of the following quantities will change ?

(a) charge on the capacitor

(b) potential difference across the capacitor

(c) energy of the capacitor

(d) energy density between the plates

Choose the correct option 

1.  (a) , (b) 

2. (b) , (c) 

3. (c) only

4. (a) , (d)