When a d c voltage of 100 V is applied to an inductor, a d c current of 5 A flows through it. When an ac voltage of 200 V peak value is connected to inductor, its inductive reactance is found to be 20

Question

When a d c voltage of 100 V is applied to an inductor, a d c current of 5 A flows through it. When an ac voltage of 200 V peak value is connected to inductor, its inductive reactance is found to be 20 3 ​ Ω . The power dissipated in the circuit is _______ W.

TestHub · Accepted Answer

For DC voltage R = I V ​ = 5 100 ​ = 20Ω for AC voltage ​ X L ​ = 20 3 ​ Ω R = 20Ω Z = X L 2 ​ + R 2 ​ = 3 × 400 + 400 ​ = 40Ω Power = i rms 2 ​ R = ( Z V rms ​ ​ ) 2 × R = ( 40 2 ​ 200 ​ ​ ) 2 × 20 = 250 W ​

Physics - EMI/AC Question with Solution | TestHub

Doubts & Discussion