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 |
 85%
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 |
From NCERT
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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 |
 58%
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 |
 81%
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 |
 82%
From NCERT
NEET - 2017
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Consider a uniform electric field in the \(\mathrm{z}\)-direction. The potential is a constant:

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

Choose the correct option:

1. (c), (d)
2. (a), (c)
3. (b), (c), (d)
4. (a), (b)
Subtopic:  Equipotential Surfaces |
 86%
From NCERT
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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 |
 73%
From NCERT
NEET - 2020
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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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