Question

In a series LCR circuit R = 300 Ω, L = 0.9 H, C = 2 µF, ω = 1000 rad/s. The impedance of the circuit is ______

पर्याय

• 900 Ω

• 400 Ω

• 1300 Ω

• 500 Ω

Answer 1

In a series LCR circuit R = 300 Ω, L = 0.9 H, C = 2 µF, ω = 1000 rad/s. The impedance of the circuit is 500 Ω.

Explanation:

In series LCR circuits,

Z = `sqrt(R^2 + (omegaL - 1/(omegac))^2)`

= `sqrt((300)^2 + [(1000 xx 0.9) - 1/(1000 xx 2 xx 10^-6)]^2)`

= `sqrt(9 xx 10^4 + [900 - 10^4/(2 xx 10^3)]^2)`

= `sqrt(9 xx 10^4 + [900 - 500]^2)`

= `sqrt((9 + 16) xx 10^4)`

= 500 Ω