It a capacitor is connected in an ac circuit, what is the phase relationship between current and potential difference applied across the capacitor? |
The current leads the potential difference by $\pi / 2$ The current lags the potential difference by $\pi / 2$ The current and the potential difference are in the same phase The current and the potential difference are in the opposite phase |
The current leads the potential difference by $\pi / 2$ |
The correct answer is Option (1) → The current leads the potential difference by $\pi / 2$ In mathematical terms, if the voltage across the capacitor is $V(t)=V_0\sin(ωt)$, the current through the capacitor $(I_t)=I_0\sin(ωt)=I_0\cos(ωt)$ ∴ Current leads the voltage by 90° or $\pi / 2$. |