Question

The instantaneous values of alternating current and voltages in a circuit are \(I = \frac{3}{\sqrt{2}} \sin(200\pi t)\) ampere and \(V = \frac{3}{\sqrt{2}} \sin\left(200\pi t + \frac{\pi}{6}\right)\) volt. What is the average power consumed in the circuit in watt?

• A. \(\frac{\sqrt{3}}{8}\)
• B. \(\frac{6\sqrt{3}}{8}\)
• C. \(\frac{8\sqrt{2}}{9}\)
• D. \(\frac{9\sqrt{3}}{8}\)

Hint:

Always convert peak values to RMS before using power formula: \(P = V_{rms} I_{rms} \cos\phi\).

Answer 1

The Correct Option is D