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

Step-by-step solution

aligned X_ L &=2 f L &=2 ( 50 ) 1=100 X_ C &= 1 2 f C = 1 2 ( 50 ) 20 10⁻⁶ =500 Impedance, Z &= R²+ (X_ C -X_ L )² Z &= (300)²-(400)² =500 aligned