Question

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

• A. Voltage leads the current by ${30}^0$
• B. Current leads the voltage by ${30}^0$
• C. Current leads the voltage by ${60}^0$
• D. Voltage leads the current by ${60}^0$

Answer 1

The correct option is C Current leads the voltage by ${60}^0$

As we know,

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