Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1660: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1660 Solution: The instantaneous values of alternating current and voltage in…

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(100\pi t + \frac{\pi}{3})

Volt The average power in watts consumed in the circuit is 1/4

\sqrt{3}/4

1/2 1/8

Multiple Choice Options

A ${1 \over 4}$ 4 1 _
B ${{\sqrt 3 } \over 4}$ 4 3 _ _
C ${1 \over 2}$ 2 1 _
D ${1 \over 8}$ 8 1 _

Step-by-Step Verified Solution

i rms = i 0 2 = 1 2 2 = 1 2 A e rms = e 0 2 = 1 2 2 = 1 2 V Average power consumed in the circuit, P = i rms e rms cos _ = ( 1 2 ) ( 1 2 ) cos _ � 3 = 1 8 W

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