How Do You Calculate Inductor Reactance at 60 Hz?

[magnifik]

Homework Statement

What is the reactance of a 0.1-H inductor if the frequency is 60 Hz?

Homework Equations

z=jwL
where z is impedance, j is imaginary unit, L is inductance
x=wL=2pifL
Z=R+jX

The Attempt at a Solution

I know this is pretty basic, but I'm not sure which equation to use. I used the first one and got j6 Ohms, but I'm not sure if impedance and reactance are interchangeable. The other answer choices are the following: infinity Ohms, 37.7 Ohms, or -6j Ohms. Thanks for the help.

 

[member 553083]

The answer is 37.7 Ohms. You can use the equation x=2πfL to calculate the reactance (or impedance) of an inductor. In this equation, x represents the reactance, f is the frequency, and L is the inductance. Plugging in the values from the question, you get x=2π(60 Hz)(0.1 H)=37.7 Ohms.