A series L - C - R circuit containing a resistance of 120 has angular frequency 4 10^5 rad s ⁻¹ . At resonance the voltage across resistance and inductor are 60 ~V and 40 ~V respectively, then the value of inductance will be

Step-by-step solution

At resonance, the impedance of the circuit is equal to resistance I = V _ R R = 60 120 =0.5 ~A Inductive reactance, X_L= V_L I = 40 0.5 =80 aligned & X _ L = L & L = X _ L = 80 4 10^5 =20 10⁻⁵ H & =0.2 mH aligned