Q. No.\(\mathrm{A}\), \(\mathrm{B}\) and \(\mathrm{C}\) are three points in a uniform electric field. The electric potential is:
| 1. | maximum at \(\mathrm{A}\) |
| 2. | maximum at \(\mathrm{B}\) |
| 3. | maximum at \(\mathrm{C}\) |
| 4. | same at all the three points \(\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}\) |
The electric potential V at any point (x, y, z), all in meters in space is given by V = volt. The electric field at the point (1, 0, 2) in volt/meter, is:
| 1. | 8 along the negative X-axis |
| 2. | 8 along the positive X-axis |
| 3. | 16 along the negative X-axis |
| 4. | 16 along the positive X-axis |
The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:
1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
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
The electric field intensity and the electric potential at a point are E and V respectively. Which of the following is correct?
| 1. | If E ≠ 0, V cannot be zero |
| 2. | If V ≠ 0, E cannot be zero |
| 3. | If V is constant and non-zero, E must be zero |
| 4. | If V=0, E must be zero |
The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by:
| 1. | 200 V/m, making an angle \(120^\circ\)with the x-axis |
| 2. | 100 V/m, pointing towards the negative x-axis |
| 3. | 200 V/m, making an angle \(60^\circ\)with the x-axis |
| 4. | 100 V/m, making an angle \(30^\circ\)with the x-axis |
In a region of constant potential:
| a. | the electric field is uniform |
| b. | the electric field is zero |
| c. | there can be no charge inside the region |
| d. | the electric field shall necessarily change if a charge is placed outside the region |
Choose the correct statement(s):
1. b and c
2. a and c
3. b and d
4. c and d
When a negative charge is released and moves in the electric field, it moves towards a position of:
| 1. | lower electric potential and lower potential energy. |
| 2. | lower electric potential and higher potential energy. |
| 3. | higher electric potential and lower potential energy. |
| 4. | higher electric potential and higher potential energy. |
The variation of potential with distance x from a fixed point is shown in the figure. The electric field at x =13 m is:
1. 7.5 volt/meter
2. –7.5 volt/meter
3. 5 volt/meter
4. –5 volt/meter
Work done to carry a negatively charged body in direction of the electric field:
(assuming no other force is acting on the body)
| 1. | is always negative. | 2. | maybe negative. |
| 3. | is always positive. | 4. | maybe zero. |
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