How Do You Calculate Inductor Reactance at 60 Hz?

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SUMMARY

The reactance of a 0.1-H inductor at a frequency of 60 Hz is calculated to be 37.7 Ohms using the formula x = 2πfL. The impedance formula z = jwL was initially considered, but the correct approach is to focus on the reactance calculation. The confusion between impedance and reactance was clarified, establishing that they are not interchangeable in this context.

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  • Understanding of inductance and its units (Henry)
  • Familiarity with frequency and its units (Hertz)
  • Knowledge of complex numbers and the imaginary unit (j)
  • Basic grasp of electrical impedance and reactance concepts
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  • Study the formula for calculating reactance of capacitors and compare it with inductors
  • Learn about the relationship between impedance, resistance, and reactance in AC circuits
  • Explore the concept of resonance in RLC circuits
  • Investigate the effects of frequency changes on inductor behavior
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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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