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A capacitor is having a capacity of \(2~\text{pF}\). The electric potential across the capacitor is changing with a value of \(10^{12}~\text{V/s}\). The displacement current is:

1. | \(2\) A | 2. | \(3\) A |

3. | \(6\) A | 4. | \(9\) A |

Subtopic: Displacement Current |

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The S.I. unit of displacement current is:

1. | Henry | 2. | Coulomb |

3. | Ampere | 4. | Farad |

Subtopic: Displacement Current |

87%

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Instantaneous displacement current of \(2.0\) A is set up in the space between two parallel plates of \(1~\mu \text{F}\)$$ capacitor. The rate of change in potential difference across the capacitor is:

1. \(3\times 10^{6}~\text{V/s}\)

2. \(4\times 10^{6}~\text{V/s}\)

3. \(2\times 10^{6}~\text{V/s}\)

4. None of these

Subtopic: Displacement Current |

87%

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In an electric circuit, there is a capacitor of reactance \(100~\Omega\) connected across the source of \(220~\text{V}\). The rms value of displacement current will be:

1. \(2.2~\text{A}\)

2. \(0.22~\text{A}\)

3. \(4.2~\text{A}\)

4. \(2.4~\text{A}\)

Subtopic: Displacement Current |

87%

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A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:

1. | Both conduction current and displacement current will increase |

2. | Both conduction current and displacement current will decrease |

3. | Conduction current will increase and displacement current will decrease |

4. | Conduction current will decrease and displacement current will increase |

Subtopic: Displacement Current |

73%

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The charge of a parallel plate capacitor is varying as \(q = q_{0} \sin\omega t\). Find the magnitude of displacement current through the capacitor.

(Plate Area = \(A\), separation of plates = \(d\))

1. \(q_{0}\cos \left(\omega t \right)\)

2. \(q_{0} \omega \sin\omega t\)

3. \(q_{0} \omega \cos \omega t\)

4. \(\frac{q_{0} A \omega}{d} \cos \omega t\)

Subtopic: Displacement Current |

72%

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A parallel plate capacitor with plate area \(A\) and separation between the plates \(d\), is charged by a source having current \(i\) at some instant. Consider a plane surface of area \(A/2\) parallel to the plates and drawn symmetrically between the plates. The displacement current through this area is:

1. \(i\)

2. \(i/2\)

3. \(i/4\)

4. \(i/8\)

Subtopic: Displacement Current |

73%

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A capacitor is made of two circular plates each of radius \(12~\text{cm}\) and separated by \(5.0~\text{cm}\). The capacitor is being charged by an external source. The charging current is constant and equal to \(0.15~\text{A}\). The displacement current across the plates is:

1. \(0\)

2. \(0.14~\text{A}\)

3. \(0.16~\text{A}\)

4. \(0.15~\text{A}\)

Subtopic: Displacement Current |

71%

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A larger parallel plate capacitor, whose plates have an area of \(1~\text{m}^2,\) separated from each other by \(1\) mm, is being charged at a rate of \(25.8\) V/s.
If the plates have dielectric constant \(10\), then the displacement current at this instant is:

1. \(25~\mu\text{A}\)

2. \(11~\mu\text{A}\)

3. \(2.2~\mu\text{A}\)

4. \(1.1~\mu\text{A}\)

Subtopic: Displacement Current |

68%

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A parallel plate capacitor consists of two circular plates each of radius \(2~\text{cm}\), separated by a distance of \(0.1~\text{mm}\). If the voltage across the plates is varying at the rate of $\mathrm{}$\(5\times10^{13}~\text{V/s}\), then the value of displacement current is:

1. \(5.50~\text{A}\)

2. \(5.56\times 10^{2}~\text{A}\)

3. \(5.56\times 10^{3}~\text{A}\)

4. \(2.28\times 10^{4}~\text{A}\)

Subtopic: Displacement Current |

64%

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