# Two equal positive charges are kept at points $$A$$ and $$B$$. The electric potential at the points between $$A$$ and $$B$$ (excluding these points) is studied while moving from $$A$$ to $$B$$. The potential: 1. continuously increases. 2. continuously decreases. 3. increases then decreases. 4. decreases then increases.

Subtopic:  Electric Potential |
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The electric field at the origin is along the positive x-axis. A small circle is drawn with the centre at the origin cutting the axes at points $$\mathrm A$$, $$\mathrm B$$, $$\mathrm C$$ and $$\mathrm D$$ having coordinates $$(a,0),(0,a),(-a,0),(0,-a)$$ respectively. Out of the points on the periphery of the circle, the potential is minimum at:
1. $$\mathrm A$$
2. $$\mathrm B$$
3. $$\mathrm C$$
4. $$\mathrm D$$

Subtopic:  Relation between Field & Potential |
67%
From NCERT
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Consider the situation of the figure. The work done in taking a point charge from $$\mathrm{P}$$ to $$\mathrm{A}$$ is $$W_{\mathrm{A}}$$ , from $$\mathrm{P}$$ to $$\mathrm{B}$$ is $$W_{\mathrm{B}}$$ and from $$\mathrm{P}$$ to $$\mathrm{C}$$ is $$W_{\mathrm{C}}$$. Then:

1. $$W_{\mathrm{A}}<W_{\mathrm{B}}<W_{\mathrm{C}}$$
2. $$W_{\mathrm{A}}>W_{\mathrm{B}}>W_{\mathrm{C}}$$
3. $$W_{\mathrm{A}}=W_{\mathrm{B}}=W_{\mathrm{C}}$$
4. none of these

Subtopic:  Electric Potential Energy |
65%
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A point charge $$q$$ is rotated along a circle in the electric field generated by another point charge $$Q$$. The work done by the electric field on the rotating charge in one complete revolution is:

 1 zero. 2 positive. 3 negative. 4 zero if the charge $$Q$$ is at the centre and non-zero otherwise.

Subtopic:  Electric Potential |
74%
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The electric field and the electric potential at a point are E and V respectively.

(a) If E = 0, V must be zero.

(b) If V = 0, E must be zero.

(c) If E ≠ 0, V cannot be zero.

(d) If V ≠ 0, E cannot be zero

Choose the coorect option

1. (a) only

2. (b) , (c)

3. (c) , (d)

4. None of these

Subtopic:  Relation between Field & Potential |
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The electric potential decreases uniformly from 120 V to 80 V as one moves on the x-axis from x = –1 cm to x = +1 cm. The electric field at the origin

(a) must be equal to 20 V cm–1

(b) may be equal to 20 V cm–1

(c) may be greater than 20 V cm–1

(d) may be less than 20 V cm–1

Choose the coorect option

1. (a) only

2. (b) , (c)

3. (c) , (d)

4. (a) , (d)

Subtopic:  Relation between Field & Potential |
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Which of the following quantities do not depend on the choice of zero potential or zero potential energy?

(a) potential at a point
(b) potential difference between two points
(c) potential energy of a two-charge system
(d) change in potential energy of a two-charge system.
Choose the correct option:
1. (a) only
2. (b), (c)
3. (b), (d)
4. (a), (d)

Subtopic:  Electric Potential Energy |
55%
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The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,

(a) it is uniform in the region

(b) it is proportional to r

(c) it is proportional to r2

(d) it increases as one goes away from the origin.

Choose the coorect option

1. (a) only

2. (b) , (c)

3. (c) only

4. (a) , (d)

Subtopic:  Relation between Field & Potential |
53%
From NCERT
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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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