Two concentric conducting spherical shells carry charge Q each. The inner shell is earthed. The charge that flows into the earth is:
1. Q
2.
3.
4.
The equivalent capacitance between the points A and B in the given network is:
1. 25
2. 16
3. 21
4. 12
Five equal capacitors connected in series have a resultant capacitance of . The total energy stored in these when these are connected in parallel and charged to 400 V is:
1. 1 J
2. 8 J
3. 16 J
4. 4 J
Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of V0 volt. If one of the capacitors is completely immersed in a liquid with dielectric constant K, the potential difference between the plates of the other capacitor will change to:
1. \(\frac{K + 1}{K} V_{0}\)
2. \(\frac{K}{K + 1} V_{0}\)
3. \(\frac{K + 1}{2 K} V_{0}\)
4. \(\frac{2 K}{K + 1} V_{0}\)
A parallel plate air capacitor has a capacity of C, the distance of separation between plates is d and potential difference V is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is:
1.
2.
3.
4.
A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system:
1. | increases by a factor of 4. |
2. | decreases by a factor of 2. |
3. | remains the same. |
4. | increases by a factor of 2. |
In the given circuit if point C is connected to the earth and a potential of +2000 V is given to the point A, the potential at B is:
1. | 1500 V | 2. | 1000 V |
3. | 500V | 4. | 400 V |
The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by:
1. | 200 V/m, making an angle \(120^\circ\)with the x-axis |
2. | 100 V/m, pointing towards the negative x-axis |
3. | 200 V/m, making an angle \(60^\circ\)with the x-axis |
4. | 100 V/m, making an angle \(30^\circ\)with the x-axis |
When a negative charge is released and moves in the electric field, it moves towards a position of:
1. | lower electric potential and lower potential energy. |
2. | lower electric potential and higher potential energy. |
3. | higher electric potential and lower potential energy. |
4. | higher electric potential and higher potential energy. |
In the given figure if , each plate of the capacitor has a surface area of and the plates are apart, then the number of excess electrons on the negative plate is:
1.
2.
3.
4.