Question

What is the value of inductance L for which the current is maximum in a series LCR circuit with C= 10 μF and ω =1000 S^-1

Answer 1

the value of inductance L should be equal to 0.1 Henry for maximum current.

Explanation :

For maximum current in an RLC circuit, the inductive reactance should be equal to the capacitive reactance

inductive reactance = wL

capacitive reactance = 1/wC

=> wL = 1/wC

=> L = 1/w²C

given,

w = 1000

C = 10 x 10⁻⁶ = 10⁻⁵ F

=> L = 1/1000²x10⁻⁵

=> L = 0.1 H

Hence the value of inductance L should be equal to 0.1 Henry for maximum current.

Answer 2

ω=1CL√

⇒ L=1ω2C=100mH

(Although ω is written 1000 sec−1 it must be 1000 rad/sec.)

Since, the value of inductance L for which the current is maximum in a series LCR circuit with C= 10 μF and ω =1000 S^-1 they mainly enables the complete aspects for ensuring more features. (d) 100 mH is the correcnt ansser for the question as the ω is 1000 sec−1.