Answer to Question #56082 in Electricity and Magnetism for Keith

Question

Consider a series RLC circuit where R = 447 Ω and C = 3.25 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 27500 s–1 (recall that ω = 2π f).
What is the inductance of the inductor in millihenrys?