- 1(current)
Q. No.Four charges \(q,q\) and \(-q,-q\) are placed at the four vertices of a square of side \(a,\) with like charges across the diagonal. The potential at the center of the square is:
| 1. | zero | 2. | \(\sqrt2\dfrac{kq}{a}\) |
| 3. | \(2\dfrac{kq}{a}\) | 4. | \(4\dfrac{kq}{a}\) |
Subtopic: Electric Potential |
85%
Level 1: 80%+
Hints
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 |
Level 3: 35%-60%
Hints
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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
1. \(10\) V
2. \(5 \sqrt 2\) V
3. \(10 \sqrt 2\) V
4. \(10 (\sqrt {2} -1)\) V
Subtopic: Electric Potential |
Level 3: 35%-60%
Hints
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. | \(\dfrac{kq }{2R}\) |
| 3. | \(\dfrac{-kq }{ 2R}\) | 4. | \(\dfrac{2kq }{ R}\) |
Subtopic: Electric Potential |
64%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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