A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.

      

A:  Key K is kept closed and plates of capacitors are moved apart using the insulating handle.
B: Key K is opened and plates of capacitors are moved apart using the insulating handle.


Choose the correct option(s):

a. In A, Q remains the same but C changes.
b. In B, V remains the same but C changes.
c. In A, V remains the same and hence Q changes.
d. In B, Q remains the same and hence V changes.


1. a and b
2. a and d
3. b and c
4. c and d

Subtopic:  Capacitance |
 58%
From NCERT
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Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately:

1. spheres 2. planes
3. paraboloids 4. ellipsoids
Subtopic:  Equipotential Surfaces |
 55%
From NCERT
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A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d1 and dielectric constant K1 and the other has thickness d2 and dielectric constant K2, as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness d = d1 + d2 and effective dielectric constant K. K is:  

                                 

1. \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{1}}\) 2. \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\)
3. \(\frac{\mathrm{K}_{1} \mathrm{~K}_{2}\left(\mathrm{~d}_{1}+\mathrm{d}_{2}\right)}{\mathrm{K}_{1} \mathrm{~d}_{2}+\mathrm{K}_{2} \mathrm{~d}_{1}}\) 4. \(\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\)
Subtopic:  Dielectrics in Capacitors |
 67%
From NCERT
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Consider a uniform electric field in the Z-direction. The potential is constant:

a. in all space
b. for any x for a given z
c. for any y for a given z
d. on the x-y plane for a given z


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

Subtopic:  Equipotential Surfaces |
 78%
From NCERT
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Equipotential surfaces:

a. are closer in regions of large electric fields compared to regions of lower electric fields.
b. will be more crowded near the sharp edges of a conductor.
c. will be more crowded near regions of large charge densities.
d. will always be equally spaced.

Choose the correct statement(s): 
1. a, b and c
2. a, c and d
3. b, c and d
4. c and d

Subtopic:  Equipotential Surfaces |
 58%
From NCERT
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In the circuit shown in the figure initially key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).
[Take Q1 and Q2 as charges on C1 and C2 and V1 and Vas voltage respectively.]
     
Then,

a. charge on C gets redistributed such that V1 = V2
b. charge on C gets redistributed such that Q1 = Q2
c. charge on C gets redistributed such that C1V1 + C2V2 = C1E
d. charge on C gets redistributed such that Q1+ Q2 = Q

Choose the correct statement(s)
1. a and c
2. a and d
3. b and c
4. c and d

Subtopic:  Combination of Capacitors |
From NCERT
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In a region of constant potential:

a. the electric field is uniform
b. the electric field is zero
c. there can be no charge inside the region
d. the electric field shall necessarily change if a charge is placed outside the region

Choose the correct statement(s): 
1. b and c
2. a and c
3. b and d
4. c and d

Subtopic:  Relation between Field & Potential |
 55%
From NCERT
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The work done to move a charge along an equipotential from A to B:

1. can not be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\)
2. must be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\)
3. is zero
4. can have a non-zero value.

Subtopic:  Equipotential Surfaces |
 91%
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The potential field of an electric field E=yi^+xj^ is:

1. V = - x + y + constant
2. V = constant
3. \(\mathrm{V}=-\left(\mathrm{x}^2+\mathrm{y}^2\right)+\) constant
4. \(V=-x y+\) constant

Subtopic:  Relation between Field & Potential |
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Three capacitors A, B and C are connected in a circuit as shown in Fig. What is the charge in μC on the capacitor B:

   

1. 1/3 2. 2/3
3. 1 4. 4/3
Subtopic:  Combination of Capacitors |
 57%
From NCERT
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