# A thin, metallic spherical shell contains a charge $$\mathrm{Q}$$ on it. A point charge $$\mathrm{q}$$ is placed at the centre of the shell and another charge $$\mathrm{q}_1$$ is placed outside as it is shown in the figure. All the three charges are positive. The force on the charge at the centre is:           1. towards left 2. towards right 3. upward 4. zero

Subtopic:  Electrostatic Shielding |
65%
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Consider the situation of the previous problem. The force on the central charge due to the shell is

1. towards left

2. towards right

3. upward

4. zero.

Previous problem: A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in figure. All the three charges are positive.

Subtopic:  Electrostatic Shielding |
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A capacitor of capacitance $$C$$ is charged to a potential $$V.$$ The flux of the electric field through a closed surface enclosing the capacitor is:
1. $$\dfrac {CV} {\varepsilon_0}$$
2. $$\dfrac {2CV} {\varepsilon_0}$$
3. $$\dfrac {CV} {2\varepsilon_0}$$
4. zero

Subtopic:  Capacitance |
62%
From NCERT
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Two capacitors each having capacitance $$C$$ and breakdown voltage $$V$$ are joined in series. The capacitance and the breakdown voltage of the combination will be:
1. $$2C$$ and $$2V$$
2. $$C/2$$ and $$V/2$$
3. $$2C$$ and $$V/2$$
4. $$C/2$$ and $$2V$$

Subtopic:  Combination of Capacitors |
78%
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Two capacitors each having capacitance $$C$$ and breakdown voltage $$V$$ are joined in parallel. The capacitance and the breakdown voltage of the combination will be:
1. $$2C$$ and $$2V$$
2. $$C$$ and $$2V$$
3. $$2C$$ and $$V$$
4. $$C$$ and $$V$$
Subtopic:  Combination of Capacitors |
86%
From NCERT
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The equivalent capacitance of the combination shown in the figure is:

1. $$C$$
2. $$2C$$
3. $$\dfrac{C}{2}$$
4. none of these

Subtopic:  Combination of Capacitors |
80%
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A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will:
1. increase
2. decrease
3. remain unchanged
4. become zero

Subtopic:  Dielectrics in Capacitors |
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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 |
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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 |
68%
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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 |
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