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) 

A parallel-plate capacitor is connected to a battery. A metal sheet of negligible thickness is placed between the plates. The sheet remains parallel to the plates of the capacitor.

(a) The battery will supply more charge.

(b) The capacitance will increase.

(c) The potential difference between the plates will increase.

(d) Equal and opposite charges will appear on the two faces of the metal plate

Choose the correct option 

1.  (a) , (b) 

2. (b) , (c) 

3. (d) only

4. (a) , (d) 

Following operations can be performed on a capacitor: 

X - connect the capacitor to a battery of emf  ε.

Y - disconnect the battery.

Z - reconnect the battery with polarity reversed.

W - insert a dielectric slab in the capacitor.

(a) In XYZ (perform X, then Y, then Z) the stored electric energy remains unchanged and no thermal energy is developed.

(b) The charge appearing on the capacitor is greater after the action XWY than after the action XYW.

(c) The electric energy stored in the capacitor is greater after the action WXY than after the action XYW.

(d) The electric field in the capacitor after the action XW is the same as that after WX

Choose the correct option 

1.  (a) , (b) , (c)

2. (b) , (c), (d)

3. (c) , (a) , (d) 

4. (a) , (d) ,(b) 

A capacitor with no dielectric is connected to a battery at t = 0. Consider a point A in the connecting wires and a point B in between the plates.
a. There is no current through A.
b. There is no current through B.
c. There is a current through A as long as the charging is not complete.
d. There is a current through B as long as the charging is not complete.
Choose the correct option:
1. (a) only
2. (b), (c)
3. (c), (d)
4. (a), (d)

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) 

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)

The capacitance of a capacitor does not depend on:

Choose the correct option:

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. \(2~\mu\text{F}, 18~\mu\text{F}\)

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