A) \[\frac{{{E}_{0}}{{I}_{0}}}{2}\]
B) \[\frac{{{E}_{0}}{{I}_{0}}}{2}\sin \phi \]
C) \[\frac{{{E}_{0}}{{I}_{0}}}{2}\cos \phi \]
D) \[{{E}_{0}}{{I}_{0}}\]
Correct Answer: C
Solution :
Key Idea: The power is defined as the rate at which work is being done in the circuit. Power = rate of work done in one complete cycle. or\[{{P}_{av}}=\frac{W}{T}\]or\[{{P}_{av}}=\frac{({{E}_{0}}{{I}_{0}}\cos \phi )T/2}{T}\] or\[{{P}_{av}}=\frac{{{E}_{0}}{{I}_{0}}\cos \phi }{2}\]where \[\cos \phi \] is called the power factor of an AC circuit.
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