Question

Calculate the value of the capacitive reactance during resonance if the value of the inductor is 5 H and supply frequency is 20 rad/sec.

(a) 100 Ω

(b) 200 Ω

(c) 300 Ω

(d) 700 Ω

The question was posed to me in my homework.

This interesting question is from Regenerative Braking of DC Shunt Motors in section Braking of DC Motors & Induction Motors of Electric Drives

Answer 1

Correct choice is (a) 100 Ω

To explain I would say: Resonance is defined as the phenomenon in which energy of any element changes from one form to another. During resonance condition Xc=Xl=ΩL=20×5=100 Ω.