The instantaneous values of alternating current and voltages in a circuit are given as aligned & i= 1 2 (100 t) ampere & e= 1 2 (100 t+ / 3) volt aligned The average power in Watts consumed in the circuit is

Step-by-step solution

Given equations i= 1 2 (100 t) and e= 1 2 (100 t+ / 3) i_o= 1 2 and V_o= 1 2 We know that average power aligned & P_ av =V_ rms i_ rms &= 1 2 1 2 60^ & [ i_ rms = i_o 2 and V_ rms = V_o 2 ] &= 1 2 1 2 1 2 &= 1 8 ~W aligned