An alternating voltage =200 100 t is applied to a series combination of R=30 and an inductor of 400 mH . The power factor of the circuit is,

Step-by-step solution

The given alternating voltage is V = 200 (100t) , which is of the form V = V_m ( t) . Comparing the two, the angular frequency is = 100 rad/s . The resistance is R = 30 and the inductance is L = 400 mH = 0.4 H . The inductive reactance X_L is given by X_L = L = 100 0.4 = 40 . The impedance Z of the series RL circuit is Z = R^2 + X_L^2 = 30^2 + 40^2 = 900 + 1600 = 2500 = 50 . The power factor is defined as = R Z . Substituting the values, = 30 50 = 0.6 . Answer: 0.6