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A capacitor of capacitance 'C', is connected across an ac source of voltage V, given by V = V0 sin ωt. The displacement current between the plates of the capacitor would then be given by:

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A capacitor of capacitance 'C', is connected across an ac source of voltage V, given by V = V0 sin ωt. The displacement current between the plates of the capacitor would then be given by:

(1) Id = V0 ωC cos ωt

(2) Id = \(\frac{V_0}{\omega C}\)cos ωt

(3) Id = \(\frac{V_0}{\omega C}\)sin ωt

(4) Id = V0 ωCsin ωt

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Correct answer: (1) Id = V0 ωCcosωt

Explanation:

q = CV

\(\frac{dq}{dt}\) = \(\frac{CdV}{dt}\)

Id = C(V0 ωCcosωt)

= V0 ωCcosωt

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