A complex voltage v given by v= 60 sin wt + 15sin (3wt + 3.142÷ 4) + 10sin (5wt - 3.142÷2) volt is applied to a circuit and the resulting current I is given by I = 2 sin ( wt - 3.143÷6) + 0.30 sin ( 3wt - 3.124÷12)+ 0.1 sin (5wt - 8×3.142÷9) amperes. Determine (a) the total active power supplied to the circuit,and ( b ) the overall power factor
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