Question

An alternating current is given by the equation, $i=3\sqrt{2}\sin (100\pi t+\pi /4)$ and an alternating voltage is given by the equation, $E=220\sqrt{2}\sin (100\pi t+\pi /2)$. Calculate the phase difference between them.

• A. $\pi /4$
• B. $\pi /3$
• C. $\pi /2$
• D. $\pi /6$

Answer 1

The correct option is A $\pi /4$

Given:

Current, $i=3\sqrt{2}\sin (100\pi t+\pi /4)\Rightarrow {\varphi }_1=100\pi t+\pi /4$
Voltage, $E=220\sqrt{2}\sin (100\pi t+\pi /2)\Rightarrow {\varphi }_2=100\pi t+\pi /2$

Therefore, phase difference,

$\Delta \varphi ={\varphi }_2-{\varphi }_1=100\pi t+\pi /2-(100\pi t+\pi /4)=\pi /4$