The electric field and the electric potential at a point are E and V respectively.
(a) If E = 0, V must be zero.
(b) If V = 0, E must be zero.
(c) If E ≠ 0, V cannot be zero.
(d) If V ≠ 0, E cannot be zero
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) , (d)
4. None of these
The electric potential decreases uniformly from 120 V to 80 V as one moves on the x-axis from x = –1 cm to x = +1 cm. The electric field at the origin
(a) must be equal to 20 V cm–1
(b) may be equal to 20 V cm–1
(c) may be greater than 20 V cm–1
(d) may be less than 20 V cm–1
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) , (d)
4. (a) , (d)
Which of the following quantities do not depend on the choice of zero potential or zero potential energy?
(a) potential at a point
(b) potential difference between two points
(c) potential energy of a two-charge system
(d) change in potential energy of a two-charge system.
Choose the correct option:
1. (a) only
2. (b), (c)
3. (b), (d)
4. (a), (d)
The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,
(a) it is uniform in the region
(b) it is proportional to r
(c) it is proportional to r2
(d) it increases as one goes away from the origin.
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) only
4. (a) , (d)
A thin, metallic spherical shell contains a charge \(\mathrm{Q}\) on it. A point charge \(\mathrm{q}\) is placed at the centre of the shell and another charge \(\mathrm{q}_1\) is placed outside as it is shown in the figure. All the three charges are positive. The force on the charge at the centre is:
1. towards left
2. towards right
3. upward
4. zero
1. towards left
2. towards right
3. upward
4. zero.
Previous problem: A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in figure. All the three charges are positive.
A capacitor of capacitance \(C\) is charged to a potential \(V.\) The flux of the electric field through a closed surface enclosing the capacitor is:
1. | \( \dfrac {CV} {\varepsilon_0}\) | 2. | \( \dfrac {2CV} {\varepsilon_0}\) |
3. | \( \dfrac {CV} {2\varepsilon_0}\) | 4. | zero |
Two capacitors each having capacitance \(C\) and breakdown voltage \(V\) are joined in series. The capacitance and the breakdown voltage of the combination will be:
1. \(2C\) and \(2V\)
2. \(C/2\) and \(V/2\)
3. \(2C\) and \(V/2\)
4. \(C/2\) and \(2V\)
1. \(C\)
2. \(2C\)
3. \(\dfrac{C}{2}\)
4. none of these