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Physics · PYQ NEET UG 2021
हिन्दीA capacitor of capacitance \( C \) is connected across an AC source of voltage \( V \), given by \( V = V_0 \sin\omega t \). The displacement current between the plates of the capacitor, would then be given by:
Correct answer · Option 4
\( I_d = V_0 \omega C \cos\omega t \)
Explanation
The displacement current \( I_d \) between the plates of a capacitor is equal to the conduction current \( I_c \) in the wires. \( I_d = I_c = \frac{dQ}{dt} \). Since \( Q = CV \), we have \( I_d = \frac{d}{dt}(CV) = C\frac{d}{dt}(V_0 \sin\omega t) = V_0 \omega C \cos\omega t \).
