Q145 / 170 · Manipal (MET) 2018 · Physics

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

  • A
    voltage leads the current by $30^{\circ}$
  • B
    current leads the voltage by $30^{\circ}$
  • Correct answer
    C
    current leads the voltage by $60^{\circ}$
  • D
    voltage leads the current by $60^{\circ}$

Solution

Net phase difference between current and voltage $=\frac{\pi}{6}-\left(-\frac{\pi}{6}\right)=\frac{\pi}{3}=60^{\circ}$
Hence, current leads the voltage by $60^{\circ}$.

Hence, the correct answer is option: 'C'.

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