How Do You Calculate Inductor Reactance at 60 Hz?

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To calculate the reactance of a 0.1-H inductor at 60 Hz, use the formula x = 2πfL. Substituting the values, x equals 2π(60 Hz)(0.1 H), resulting in a reactance of 37.7 Ohms. The initial confusion regarding impedance and reactance indicates that they are not interchangeable terms; reactance specifically refers to the opposition to AC current in inductors and capacitors. The correct answer for the reactance in this case is 37.7 Ohms. Understanding the distinction between impedance and reactance is crucial for accurate calculations in electrical engineering.
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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.
 
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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.
 

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