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

Question

Accepted Answer

(1) I_d=V₀ω C cos ω t. Inside the capacitor there is no conduction current; the displacement current there equals the conduction current in the leads, which is I=C(dV)/(dt). I_d=Cd/(dt)(V₀ sin ω t)=CV₀ω cos ω t. So I_d=V₀ω C cos ω t. The cosine says the current leads the applied voltage by π/2, as it must for a capacitor.

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

Step-by-step solution

Why the other options are wrong

A capacitor of capacitance C is connected across an ac source of voltage V, given byV=V₀ sin ω tThe displacement current between the plates of the capacitor would then be given by

Step-by-step solution

Why the other options are wrong

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