What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?
1. \(1100~\text{km}^2\)
2. \(1130~\text{km}^2\)
3. \(1110~\text{km}^2\)
4. \(1105~\text{km}^2\)
The electric potential difference between two parallel plates is \(2000 ~\mathrm V\). If the plates are separated by \(2~ \mathrm {mm}\), what is the magnitude of the electrostatic force on a charge of \(4 \times 10^{-6}~ \mathrm C\)located midway between the plates?
1. | \(4~\mathrm N\) | 2. | \(6~\mathrm N\) |
3. | \(8~\mathrm N\) | 4. | \(1.5 \times 10^{-6}~ \mathrm N\) |
A parallel plate air capacitor is charged to potential difference V. After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:
1. decreases.
2. increases.
3. becomes zero.
4. does not change.
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.
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.
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A is:
1. | independent of the distance between the plates. |
2. | linearly proportional to the distance between the plates. |
3. | proportional to the square root of the distance between the plates. |
4. | inversely proportional to the distance between the plates. |
A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.
A: | Key K is kept closed and plates of capacitors are moved apart using the insulating handle. |
B: | Key K is opened and plates of capacitors are moved apart using the insulating handle. |
Choose the correct option(s):
a. | In A, Q remains the same but C changes. |
b. | In B, V remains the same but C changes. |
c. | In A, V remains the same and hence Q changes. |
d. | In B, Q remains the same and hence V changes. |
1. a and b
2. a and d
3. b and c
4. c and d
A: | free electrons move always from a region of higher potential to a region of lower potential. |
B: | the capacitance of the capacitor does not depend upon the nature of the conducting material of the plates of the capacitor. |
1. | only A |
2. | only B |
3. | both A and B |
4. | neither A and B |