In a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 F and resistance R is 20 . The frequency at which impedance is 20 , is

Step-by-step solution

Given L = 10 mH = 10⁻² H , C = 100 F = 10⁻⁴ F , and R = 20 . The impedance of a series LCR circuit is given by Z = R^2 + (X_L - X_C )^2 . Since Z = 20 = R , the circuit is in resonance, which implies X_L = X_C . L = 1 C = 1 LC Substituting the values of L and C : = 1 10⁻² 10⁻⁴ = 1 10⁻⁶ = 10^3 rad/s The frequency f is given by f = 2 . f = 10^3 2 Hz Answer: 10^3 2