The energy density in the electric field created by a point charge falls off with the distance from the point charge as

1. \(1 \over r\)

2. \(1 \over r^2\)

3. \(1 \over r^3\)

4. \(1 \over r^4\)

Subtopic:  Electric Potential |
From NCERT
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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

Subtopic:  Capacitance |
 69%
From NCERT
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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. \(\infty \)

Subtopic:  Capacitance |
From NCERT
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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%
From NCERT
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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%
From NCERT
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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 |
 87%
From NCERT
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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%
From NCERT
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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 |
 79%
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 |
 67%
From NCERT
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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 |
From NCERT
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