Question

An LCR circuit contains resistance of 110 Q and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45°. If on the other hand, only inductor is removed the current leads by 45° with the applied voltage. The rms current flowing in the circuit will be ______.

Options

• 1.5 A

• 1 A

• 2 A

• 2.5 A

Answer 1

An LCR circuit contains resistance of 110 Q and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45°. If on the other hand, only inductor is removed the current leads by 45° with the applied voltage. The rms current flowing in the circuit will be 2 A.

Explanation:

Given: R = 110

V = 220 V
ω = 300 rad/s

An LCR circuit in resonance behaves as a resistive circuit.

∴ `I_(rms) = (V_(rms))/R`

= 220/110

= 2 A