Four charges $$q,q$$ and $$-q,-q$$ are placed at the four vertices of a square of side $$a,$$ with like charges across a diagonal. The potential at the centre of the square is:
1. zero
2. $$\sqrt2\frac{kq}{a}$$
3. $$2\frac{kq}{a}$$
4. $$4\frac{kq}{a}$$
Subtopic:  Electric Potential |
86%
From NCERT
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Two tiny spheres carrying charges of $$1.5$$ µC and $$2.5$$ µC are located $$30$$ cm apart. What is the potential at a point $$10$$ cm from the midpoint in a plane normal to the line and passing through the mid-point?
1. $$1.5\times 10^{5}$$ V
2. $$1.0\times 10^{5}$$ V
3. $$2.4\times 10^{5}$$ V
4. $$2.0\times 10^{5}$$ V

Subtopic:  Electric Potential |
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A charge is uniformly distributed on the circumference of a disc, and the potential at its centre is $$5$$ volt. If the charge was uniformly distributed on the surface of this disc, the potential at a point $$P$$ on its axis, at a distance equal to the disc's radius from its centre, equals:
1. $$10$$ V
2. $$5 \sqrt 2$$ V
3. $$10 \sqrt 2$$ V
4. $$10 (\sqrt {2} -1)$$ V
Subtopic:  Electric Potential |
From NCERT
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A negative point charge $$(-q)$$ is placed at the centre of a spherical ball of charge distributed uniformly over its volume. The radius of the ball is $$R.$$ The electric field on its surface is zero. The potential on its surface is:
1. zero
2. $${kq \over 2R}$$
3. $${-kq \over 2R}$$
4. $${2kq \over R}$$
Subtopic:  Electric Potential |
60%
From NCERT
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The angle between the electric lines of force and the equipotential surface is:
1. $$180^\circ$$
2. $$0^\circ$$
3. $$45^\circ$$
4. $$90^\circ$$
Subtopic:  Equipotential Surfaces |
82%
From NCERT
NEET - 2022
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The diagrams below show regions of equipotential.

A positive charge is moved from $$\mathrm{A}$$ to $$\mathrm{B}$$ in each diagram. Choose the correct statement from the options given below:

 1 in all four cases, the work done is the same. 2 minimum work is required to move $$q$$ in figure (a). 3 maximum work is required to move $$q$$ in figure (b). 4 maximum work is required to move $$q$$ in figure (c).

Subtopic:  Equipotential Surfaces |
83%
From NCERT
NEET - 2017
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Consider a uniform electric field in the $$z\text-$$direction. The potential is a constant:

 (a) in all space. (b) for any $$x$$ for a given $$z.$$ (c) for any $$y$$ for a given $$z.$$ (d) on the $$x\text-y$$ plane for a given $$z.$$

Choose the correct option:

 1 (c), (d) 2 (a), (c) 3 (b), (c), (d) 4 (a), (b)
Subtopic:  Relation between Field & Potential |
85%
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In a region, the potential is represented by $$V=(x,y,z)=6x-8xy-8y+6yz,$$ where $$V$$ is in volts and $$x,y,z$$ are in meters. The electric force experienced by a charge of $$2$$ coulomb situated at a point $$(1,1,1)$$ is:
1. $$6\sqrt{5}~\text{N}$$
2. $$30~\text{N}$$
3. $$24~\text{N}$$
4. $$4\sqrt{35}~\text{N}$$

Subtopic:  Relation between Field & Potential |
73%
From NCERT
AIPMT - 2014
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In a certain region of space with volume $$0.2$$ m3, the electric potential is found to be $$5$$ V throughout. The magnitude of electric field in this region is:
1. $$0.5$$ N/C
2. $$1$$ N/C
3. $$5$$ N/C
4. zero

Subtopic:  Relation between Field & Potential |
75%
From NCERT
NEET - 2020
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The electric field at the origin is along the positive $$x\text-$$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%
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