The potential differences across the resistor, capacitor and inductor are 80 V, 40 and 100 V respectively in series LCR circuit. The power factor of this circuit is

Step-by-step solution

Given V_R = 80 V, V_C = 40 V, and V_L = 100 V. The total voltage V across the series LCR circuit is given by: V = V_R^2 + (V_L - V_C)^2 Substituting the given values: V = 80^2 + (100 - 40)^2 V = 80^2 + 60^2 V = 6400 + 3600 = 10000 = 100 V The power factor of the circuit is: = V_R V = 80 100 = 0.8 Answer: 0.8