- 1(current)
Q. No.A parallel-plate capacitor of capacitance \(\dfrac{1}{2}\text{ F} \) is such that an instantaneous displacement current of \(i\) ampere flows between its plates. What is the corresponding rate of change of voltage \(\dfrac{dV}{dt}\) across the capacitor?
| 1. | \(2i\) | 2. | \(\dfrac{i}{2}\) |
| 3. | \(\dfrac{1}{2i}\) | 4. | \(i\) |
Subtopic: Displacement Current |
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Displacement current exists:
| 1. | when an electric field is changing in the circuit. |
| 2. | when an electric field is constant. |
| 3. | when an electric field is absent. |
| 4. | always exists independent of the electric field. |
Subtopic: Displacement Current |
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A capacitor is connected across a battery which delivers a current of \(1~\text A\) at an instant in the capacitor. Displacement current through the capacitor at that instant is:
1. \(1~\text A\)
2. \(0 ~\text A\)
3. \(2~ \text A\)
4. \(0.5~{\text{A}}\)
1. \(1~\text A\)
2. \(0 ~\text A\)
3. \(2~ \text A\)
4. \(0.5~{\text{A}}\)
Subtopic: Displacement Current |
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A parallel plate capacitor of capacitance \(20~\mu\text{F}\) is being charged by a voltage source whose potential is changing at the rate of \(3~\text{V/s}\). The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively:
1. \(60~\mu\text{A}\), zero
2. zero, zero
3. zero, \(60~\mu\text{A}\)
4. \(60~\mu\text{A}, 60~\mu\text{A}\)
Subtopic: Displacement Current |
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A displacement current of \(4.425~\mu\text A\) is developed in the space between the plates of a parallel plate capacitor when voltage is changing at a rate of \(10^{6}~\text{V/s}.\) The area of each plate of the capacitor is \(40~\text{cm}^2.\) The distance between each plate of the capacitor is \(x \times 10^{-3}~\text m.\) The value of \(x\) is:
(the permittivity of free space, \(\epsilon_0=8.85\times10^{-12}~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) )
1. \(2\)
2. \(4\)
3. \(6\)
4. \(8\)
(the permittivity of free space, \(\epsilon_0=8.85\times10^{-12}~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) )
1. \(2\)
2. \(4\)
3. \(6\)
4. \(8\)
Subtopic: Displacement Current |
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The separation between the pate of a parallel plate capacitor is \(1\) mm is connected in an electric circuit if rate of change of voltage between the plate is \(10^8~~\text {V/s}\) and plate area is \(30 ~\text {cm}^2\), then the value of displacement current between the plate will be:
1. \( 8.85 \mathrm{~mA} \)
2. \( 3.65 \mathrm{~mA} \)
3. \(2.65 \mathrm{~mA} \)
4. \( 9.57 \mathrm{~mA} \)
1. \( 8.85 \mathrm{~mA} \)
2. \( 3.65 \mathrm{~mA} \)
3. \(2.65 \mathrm{~mA} \)
4. \( 9.57 \mathrm{~mA} \)
Subtopic: Displacement Current |
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A larger parallel plate capacitor, whose plates have an area of 1 are separated from each other by 1 mm, is being charged at a rate of 25.8 V/s. If the plates has dielectric constant 10, then the displacement current at this instant is:
1. 25
2. 11
3. 2.2
4. 1.1
Subtopic: Displacement Current |
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