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 from the given options:
| 1. | (c) and (d) only | 2. | (a) and (c) only |
| 3. | (b), (c) and (d) only | 4. | (a) and (b) only |
| 1. | \(6\sqrt{5}~\text{N}\) | 2. | \(30~\text{N}\) |
| 3. | \(24~\text{N}\) | 4. | \(4\sqrt{35}~\text{N}\) |
In a certain region of space with volume \(0.2~\text m^3,\) the electric potential is found to be \(5~\text V\) throughout. The magnitude of the electric field in this region is:
| 1. | \(0.5~\text {N/C}\) | 2. | \(1~\text {N/C}\) |
| 3. | \(5~\text {N/C}\) | 4. | zero |
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. \(\mathrm D\)