A sinusoidal voltage V t = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH , C = 25 μF and R = 100 Ω . The phase difference Φ between the applied voltage and resultant current will be

Step-by-step solution

Capacitive reactance is X C = 1 ω C = 1 3000 × 25 × 10 - 6 = 40 3 Ω Inductive reactance is X L = ω L = 3000 × 10 × 10 - 3 = 30 Ω Now, total reactance is X = X L - X C = 30 - 40 3 = 50 3 Ω tan ϕ = X R = 50 3 100 = 1 6 tan ϕ = 1 6 = 0 . 17 Hence, the phase difference between the applied voltage and resultant current is tan - 1 0 . 17 .