Identify the incorrect statement from the following:
| 1. | The equipotential surface created by a single-point charge is spherical. |
| 2. | Equipotential surfaces can also be constructed for a dipole. |
| 3. | Equipotential surfaces are always perpendicular to electric field lines. |
| 4. | The work done in moving a test charge along an equipotential surface is positive. |
| 1. | \(2\) | 2. | \(3\) |
| 3. | \(8\) | 4. | \(11\) |
| 1. | straight lines | 2. | planar |
| 3. | spherical | 4. | ellipsoidal |
| Assertion (A): | The electric field and hence electric field lines are everywhere at the right angle to an equipotential surface. |
| Reason (R): | Equipotential surfaces are closer together where the electric field is stronger and farther apart where the field is weaker. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
| Assertion (A): | A spherical equipotential surface is not possible for a point charge. |
| Reason (R): | A spherical equipotential surface is possible inside an aspherical capacitor. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
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 option:
| 1. | (b), (c) | 2. | (a), (c) |
| 3. | (b), (d) | 4. | (c), (d) |
| (a) | are closer in regions of large electric fields compared to regions of lower electric fields. |
| (b) | will be more crowded near sharp edges of a conductor. |
| (c) | will be more crowded near regions of large charge densities. |
| (d) | will always be equally spaced. |
Choose the correct option:
| 1. | (a), (b) | 2. | (c), (d) |
| 3. | (a), (b), (c) | 4. | (a), (b), (c), (d) |
Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately:
1. spheres
2. planes
3. paraboloids
4. ellipsoids