question_answer

If a current I given by \[{{I}_{0}}\sin \,\left( \omega \,t-\frac{\pi }{2} \right)\] flows in an ac circuit across which an ac potential of \[E={{E}_{0}}\sin \omega \,t\] has been applied, then the power consumption P in the circuit will be [CPMT 1986; Roorkee 1992; SCRA 1996; MP PMT 1994; RPET 2001; MP PET 2001, 02]

A)            \[P=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}\]                       

B)            \[P=\sqrt{2}{{E}_{0}}{{I}_{0}}\]

C)            \[P=\frac{{{E}_{0}}{{I}_{0}}}{2}\]                                     

D)            P = 0