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Displacement current in a capacitor from the rate of change of voltage

This type of question, asked 5 times: 29 Jun 2022, 1 Feb 2024, 22 Jan 2025, 23 Jan 2025, 5 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    116
    The displacement current of 4.425μA4.425\mu A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 10610^{6} Vs−1Vs^{- 1}. The area of each plate of the capacitor is 40 cm2cm^{2}. The distance between each plate of the capacitor is x×10−3 mx \times10^{- 3}\text{ }m. The value of xx is, (Permittivity of free space, ε0=8.85×10−12C2 N−1 m−2\varepsilon_{0}= 8.85 \times10^{- 12}C^{2}{\text{ }N}^{- 1}{\text{ }m}^{- 2} )

  2. Question 2

    1 Feb 2024

    8
    A parallel plate capacitor has a capacitance C=200pFC = 200pF. It is connected to 230 V230\text{ }V ac supply with an angular frequency 300rad/s300rad/s. The rms value of conduction current in the circuit and displacement current in the capacitor respectively are:

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  3. Question 3

    22 Jan 2025

    98
    A parallel plate capacitor of area A=16 cm2A = 16{\text{ }cm}^{2} and separation between the plates 10 cm , is charged by a DC current. Consider a hypothetical plane surface of area A0=3.2 cm2A_{0}= 3.2{\text{ }cm}^{2} inside the capacitor and parallel to the plates. At an instant, the current through the circuit is 6 A . At the same instant the displacement current through A0A_{0} is ______\_\_\_\_\_\_ mA .

  4. Question 4

    23 Jan 2025

    99
    A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance 2.5μ F2.5\mu\text{ }F. The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous displacement current of 0.25 mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be ____\_\_\_\_ Vs−1Vs^{- 1}.

  5. Question 5

    5 Apr 2026 S1

    12
    A displacement current of 4.0 A can be set up in the space between two parallel plates of 6μ F6\mu\text{ }F capacitor. The rate of change of potential difference across the plates of the capacitor is nearly α×106 V/s\alpha \times10^{6}\text{ }V/s. The value of α\alpha is ____\_\_\_\_ .

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