Question

Consider a series RLC circuit where R = 855 Ω and C = 6.25 μF. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 84.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 51900 s–1 (recall that ω = 2π f). What is the inductance of the inductor in millihenrys?

Answer 1

L= 0.059 mH

Step-by-step explanation:

Given that

R = 855 Ω and C = 6.25 μF

V= 84 V

Frequency

ω = 51900 1/s

We know that

`\omega=\sqrt{(1)/(LC)}`

L=Inductance

C=Capacitance

ω =angular Frequency

ω² L C =1

(51900)² x L x 6.25 x 10⁻⁶ = 1

L= 5.99 x 10⁻⁵ H

L= 0.059 mH