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.

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

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.

if they have a finite resultant