In the series L-C-R circuit shown, the impedance is

Step-by-step solution

Given parameters for the series L-C-R circuit are: Inductance L = 1 H Capacitance C = 20 F = 20 10⁻⁶ F Resistance R = 300 Frequency f = 50 Hz The angular frequency is given by: = 2 f = 2 50 = 100 rad/s Calculate inductive reactance X_L : X_L = L = 100 1 = 100 Calculate capacitive reactance X_C : X_C = 1 C = 1 100 20 10⁻⁶ = 1 2000 10⁻⁶ = 1 2 10⁻³ = 500 The impedance Z of a series L-C-R circuit is given by: Z = R^2 + (X_L - X_C)^2 Substituting the values: Z = 300^2 + (100 - 500)^2 Z = 300^2 + (-400)^2 Z = 90000 + 160