Reactance and Inductance of an inductor

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SUMMARY

The reactance of an inductor is defined by the formula XL = ωL, where XL is the inductive reactance, ω is the angular frequency, and L is the inductance. In the discussion, it is established that an inductor with a reactance of 100 ohms at 2 kHz has an inductance of 0.025 H (25 mH). Additionally, to find the frequency at which a 3.5 mH inductor has a reactance of 10 ohms, the correct approach is to rearrange the inductive reactance formula to solve for frequency, yielding a frequency of approximately 4.55 kHz.

PREREQUISITES
  • Understanding of inductive reactance (XL = ωL)
  • Knowledge of angular frequency (ω = 2πf)
  • Familiarity with basic electrical engineering concepts
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the relationship between inductance and frequency in AC circuits
  • Learn how to calculate inductive reactance for various frequencies
  • Explore the effects of inductance on circuit behavior in RLC circuits
  • Investigate the role of inductors in filter design and signal processing
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Electrical engineering students, circuit designers, and anyone involved in analyzing AC circuits and inductive components.

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 [tex]\omega[/tex] is simply related to frequency by [tex]\omega=2\pi f[/tex] .

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

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