Question

Voltage and current in an ac circuit are given by $V=5sin(100\pi t-\frac{\pi }{6})$ and $I=4sin(100\pi t+\frac{\pi }{6})$

• A. Voltage leads the current by ${30}^{\circ }$
• B. Current leads the voltage by ${30}^{\circ }$
• C. Current leads the voltage by ${60}^{\circ }$
• D. Voltage leads the current by ${60}^{\circ }$

Answer 1

The correct option is C Current leads the voltage by ${60}^{\circ }$

Phase difference $\Delta \varphi ={\varphi }_2-{\varphi }_1=\frac{\pi }{6}-\left(\frac{-\pi }{6}\right)=\frac{\pi }{3}$