The instantaneous values of alternating current and voltage in a circuit are given as i = 1/√(2) sin (100 π t) ampere e = 1/√(2)sin (100π t + π/3) Volt The average power in watts consumed in the circuit is (a) 1/4 (b) √(3)/4 (c) 1/2 (d) 1/8

Answer: (d). P = (e₀i₀)/(2)cos φ with φ = π/3 P = 1/2×1/√(2)×1/√(2)×1/2 P = 1/8 W So the answer is (d) 1/8.

The instantaneous values of alternating current and voltage in a… | NEET 2012 (AIPMT, Mains)

Q72NEET 2012 · AIPMT · MAINSEasy

Power, Power Factor & Wattless Current

The instantaneous values of alternating current and voltage in a circuit are given as $i = \frac{1}{\sqrt{2}}$ sin (100 $\pi$ t) ampere

$e = \frac{1}{\sqrt{2}}\sin\left(100\pi t + \frac{\pi}{3}\right)$ Volt

The average power in watts consumed in the circuit is

Show answer and solution

Answer: (d)

$P = \frac{e_0i_0}{2}\cos\phi$ with $\phi = \frac{\pi}{3}$
$P = \frac{1}{2}\times\frac{1}{\sqrt{2}}\times\frac{1}{\sqrt{2}}\times\frac{1}{2}$
$P = \frac{1}{8}\text{ W}$
So the answer is (d) $\frac{1}{8}$ .