A capacitor of 4 uF is connected as shown in the circuit. The internal resistance of the battery is 0.5Q. The amount of charge on the capacitor plates will be

                         

1. 0
2. 4 \(\mu C\)
3. 16\(\mu C\)
4. 8 \(\mu C\)

Subtopic:  Capacitance |
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The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard.
S1: At any point inside the sphere, electric intensity is zero.
S2: At any point inside the sphere, the electrostatic potential is 100 V.
Which of the following is a correct statement?
1. S1 is true but S1 is false.
2. Both S1 and S2 are false.
3. S1 is true, S2 is also true and S1 is the cause of S2.
4. S1 is true, S2 is also true but the statements are independent.

Subtopic:  Electrostatic Shielding |
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Equipotentials 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 |
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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 -C1F

(d) charge on C, gets redistributed such that Q1 + Q2 -Q
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)

Subtopic:  Combination of Capacitors |
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If a conductor has a potential V # 0 and there are no charges anywhere else outside, then:

(a) there must be charges on the surface or inside itself

(b) there cannot be any charge in the body of the conductor

(c) there must be charges only on the surface

(d) there must be charges inside the surface
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (a), (b)
4. (a), (b), (c), (d)

Subtopic:  Electrostatic Shielding |
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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 insulating handle.

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

Choose the correct option(s).

1. In A: Q remains same but C changes. In B: V remains same but C changes.
2. In A: V remains same and hence Q changes.
3. In B: Q remains same and hence V changes.
4. Both (2) and (3).

Subtopic:  Capacitance |
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