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Q. No.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. \(1105~\text{km}^2\)
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. | \(\frac{C^{2} V^{2}}{2 d}\) | 2. | \(\frac{C V^{2}}{2 d}\) |
| 3. | \(\frac{C V^{2}}{d}\) | 4. | \(\frac{C^{2} V^{2}}{2 d^{2}}\) |
In the given figure if \(V = 4~\text{volt}\) each plate of the capacitor has a surface area of\(10^{-2}~\text{m}^2\) and the plates are \(0.1\times10^{-3}~\text{m}\)apart, then the number of excess electrons on the negative plate is:
1. \(5.15\times 10^{9}\)
2. \(2.21\times 10^{10}\)
3. \(3.33\times 10^{9}\)
4. \(2.21\times 10^{9}\)
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. |
| 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) |
1. \(50~\mu\text{F}\) and \(30~\mu\text{F}\)
2. \(20~\mu\text{F}\) and \(30~\mu\text{F}\)
3. \(60~\mu\text{F}\) and \(40~\mu\text{F}\)
4. \(40~\mu\text{F}\) and \(10~\mu\text{F}\)
| 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 |
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