Reactance and Inductance of an inductor

AI Thread Summary
The reactance of an inductor at a given frequency can be calculated using the formula XL = ωL, where XL is the inductive reactance and ω is the angular frequency. For the first question, with a reactance of 100 ohms at 2 kHz, the inductance can be determined by rearranging the equation. In the second question, to find the frequency at which a 3.5-mH inductor has a reactance of 10 ohms, the same inductive reactance formula applies, allowing for the calculation of frequency. It is important to remember that angular frequency is related to frequency by ω = 2πf. Understanding these relationships will help solve both problems effectively.
Kathi201
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a. The reactance of an inductor is 100 ohms at 2kHz. What is the inductance of this inductor??

b. At what frequency is the reactance of a 3.5-mH inductor equal to 10 ohm?


I am not even sure what equations to use for these two questions. I know that for a the inductive reactance equation is XL = wL, but here I have two unknowns, XL and w so I am not sure what equation to use. For b the frequency equation I have is w = 1/LC but I do not know the capacitance.

If anyone knows the equations that I would use for these two I would appreciate the help ASAP! :)
 
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a) you have only one unknown because the angular frequency \omega is simply related to frequency by \omega=2\pi f .

b) Use the same inductance equation--not the capacitance equation you wrote down for b)!--solving this time for frequency.
 

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