In an LCR series circuit an alternating voltage source of frequency F is connected. The current leads the voltage by 45^ . The value of L is

Step-by-step solution

In an LCR series circuit, the phase difference between the voltage and current when the current leads the voltage is given by = X_C - X_L R . Given that the current leads the voltage by 45^ , we have = 45^ . 45^ = X_C - X_L R 1 = 1 2 FC - 2 FL R R = 1 2 FC - 2 FL 2 FL = 1 2 FC - R 2 FL = 1 - 2 FCR 2 FC L = 1 - 2 FCR 4 ^2 F^2C Answer: 1 - 2 FCR 4 ^2 F^2C