- 1(current)
Q. No.A regular hexagon of side 10 cm has a charge 5 µC at each of its vertices. The potential at the center of the hexagon is:
1. \(2.7\times10^{6}\) V
2. 0
3. \(3.7\times10^{6}\) V
4. \(2.0\times10^{6}\) V
Two charges \(5×10^{-8}~\text C\) and \(-3\times 10^{-8}~\text C\) are located \(16~\text{cm}\) apart from each other. At what point on the line joining the two charges is the electric potential zero?
(take the potential at infinity to be zero.)
| 1. | \(10~\text{cm}\) from the positive charge between the charges. |
| 2. | \(40~\text{cm}\) from the positive charge between the charges. |
| 3. | \(10~\text{cm}\) from the negative charge between the charges. |
| 4. | \(40~\text{cm}\) from the negative charge between the charges. |
A cube of side \(b\) has a charge \(q\) at each of its vertices. The potential due to this charge array at the center of the cube is:
| 1. | \(\dfrac{4q}{\sqrt3\pi\varepsilon_0b}\) | 2. | \(\dfrac{8q}{\sqrt3\pi\varepsilon_0b}\) |
| 3. | \(\dfrac{2q}{\sqrt3\pi\varepsilon_0b}\) | 4. | Zero |
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 |
Two charged conducting spheres of radii \(a\) and \(b\) are connected to each other by a wire. The ratio of electric fields at the surfaces of the two spheres is:
| 1. | \(\dfrac{a}{b}\) | 2. | \(1\) |
| 3. | \(\dfrac{2a}{b}\) | 4. | \(\dfrac{b}{a}\) |
- 1(current)
Q. No.
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