Question:

A capacitor of capacitance ‘C’, is connected across an ac source of voltage V, given by V=V0sinωt The displacement current between the plates of the capacitor, would then be given by

Updated On: Aug 16, 2024
  • \(I_d=V_0\,\omega Csin\omega t\)

  • \(I_d=V_0\,\omega Ccos\omega t\)

  • \(I_d=\frac{V_0}{\omega C}cos\omega t\)

  • \(I_d=\frac{V_0}{\omega C}sin\omega t\)

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The Correct Option is B

Solution and Explanation

The correct answer is option (B): \(I_d=V_0\,\omega Ccos\omega t\)
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Concepts Used:

Displacement Current

Displacement current is a quantity appearing in Maxwell’s equations. Displacement current definition is defined in terms of the rate of change of the electric displacement field (D). It can be explained by the phenomenon observed in a capacitor.

Displacement Current