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
\(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is:
1. | \(B\) | maximum at
2. | \(C\) | maximum at
3. | \(A, B\) and \(C\) | same at all the three points
4. | \(A\) | maximum at
1. | \(8~\text{V/m},\) along the negative \(x\text-\)axis |
2. | \(8~\text{V/m},\) along the positive \(x\text-\)axis |
3. | \(16~\text{V/m},\) along the negative \(x\text-\)axis |
4. | \(16~\text{V/m},\) along the positive \(x\text-\)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. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)