The instantaneous values of alternating current and voltage in a circuit are given as $i = {1 \over {\sqrt 2 }}$ sin (100 $\pi $t) ampere $e = {1 \over {\sqrt 2 }}\sin \left( {100\pi t + {\pi \over 3}} \right)$ Volt The average power in watts consumed in the circuit is

Question

The instantaneous values of alternating current and voltage in a circuit are given as

$i = {1 \over {\sqrt 2 }}$ sin (100 $\pi $t) ampere

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

The average power in watts consumed in the circuit is

${1 \over 4}$

${{\sqrt 3 } \over 4}$

${1 \over 2}$

${1 \over 8}$

Solution

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