Question

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a H inductor, determine the inductive reactance and the rms current through the inductor.

Answer 1

Step-by-step explanation:

Complete question:

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 43.8H inductor, determine the inductive reactance and the rms current through the inductor.

Inductive reactance XL = 2πfL

f is the frequency

L is the inductance

Given

f = 60Hz

L = 43.8H

XL = 2π(60)(43.8)

XL = 376.8(43.8)

XL = 16,503.84ohms

Irms is the root mean square current

V = IXL

I = V/XL

I = 120/16,503.84

I = 0.00727A

Hence the current through the inductor is I = 0.00727A