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
A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will:
1. increase
2. decrease
3. remain unchanged
4. become zero
The energy density in the electric field created by a point charge falls off with the distance from the point charge as
1. \(1 \over r\)
2. \(1 \over r^2\)
3. \(1 \over r^3\)
4. \(1 \over r^4\)
A parallel-plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let Q+ and Q- be the charges appearing on the positive and negative plates respectively.
1. Q+ > Q–
2. Q+ = Q–
3. Q+ < Q-
4. The information is not sufficient to decide the relation between Q+ and Q–
1. \(C/2\)
2. \(2C\)
3. \(0\)
4. \(\infty \)
1. \(C_{1}>C_{2}\)
2. \(C_{1}=C_{2}\)
3. \(C_{1}<C_{2}\)
4. the information is not sufficient to decide the relation between \(C_{1}\) and \(C_{2}\)