# The figure shows two capacitors connected in series and joined to a battery. The graph shows the variation in potential as one moves from left to right on the branch containing the capacitors. Then:           1. $$C_{1}>C_{2}$$ 2. $$C_{1}=C_{2}$$ 3. $$C_{1}<C_{2}$$ 4. the information is not sufficient to decide the relation between $$C_{1}$$ and $$C_{2}$$

Subtopic:  Combination of Capacitors |
53%
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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

Subtopic:  Dielectrics in Capacitors |
54%
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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. $$2~\mu\text{F}, 18~\mu\text{F}$$

Subtopic:  Combination of Capacitors |
86%
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The capacitance of a capacitor does not depend on:

 a. the shape of the plates. b. the size of the plates. c. the charges on the plates. d. the separation between the plates.

Choose the correct option:

 1 (a) , (b) 2 (b) , (c) 3 (c) only 4 (a) , (d)
Subtopic:  Capacitance |
72%
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A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?

 (a) the electric field in the capacitor (b) the charge on the capacitor (c) the potential difference between the plates (d) the stored energy in the capacitor

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

Subtopic:  Dielectrics in Capacitors |
78%
From NCERT
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A dielectric slab is inserted between the plates of a capacitor. The charge on the capacitor is $$Q$$ and the magnitude of the induced charge on each surface of the dielectric is $$Q'.$$

 a. $$Q'$$ may be larger than $$Q.$$ b. $$Q'$$ must be larger than $$Q.$$ c. $$Q'$$ must be equal to $$Q.$$ d. $$Q'$$ must be smaller than $$Q.$$

Choose the correct option:

 1 (a), (b) 2 (b), (c) 3 (d) only 4 (a), (d)

Subtopic:  Dielectrics in Capacitors |
68%
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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)

Subtopic:  Capacitance |
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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)

Subtopic:  Energy stored in Capacitor |
65%
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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)

Subtopic:  Dielectrics in Capacitors |
55%
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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)

Subtopic:  Combination of Capacitors |
52%
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