Find the value of L. Answer in units of

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SUMMARY

The discussion focuses on calculating the inductance (L) in a series RLC circuit with a resonance frequency of 1360 Hz. The user attempted to find L using the formula L = X/L, where X is the reactance. The values provided were XL = 9.7 and XC = 9.3. The correct approach involves using the resonance frequency to determine the angular frequency (ω) and then applying the formula L = XL/ω to find L in henries, converting it to millihenries (mH) as required.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with resonance frequency calculations
  • Knowledge of reactance (XL and XC) in AC circuits
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the relationship between resonance frequency and inductance in RLC circuits
  • Learn how to calculate angular frequency (ω) from frequency (f)
  • Explore the implications of reactance in AC circuit analysis
  • Practice solving RLC circuit problems using different values for XL and XC
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Students studying electrical engineering, circuit designers, and anyone involved in analyzing RLC circuits and their properties.

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Homework Statement



A series RLC circuit has a resonance fre-
quency of 1360/ Hz. When it is operating
at a frequency of ! > !0, XL = 9.7
and
XC = 9.3
.
Find the value of L. Answer in units of
mH.


Homework Equations



X(L)=w*L

The Attempt at a Solution



what i did is that i solved for L by dividing by w
L= X/w therefore i got 0.00227 .. then i multiplied it by 10^-3 since they wanted it in mH

but i got a wrong answer .. can someone explain for me where am i going wrong

thanx in advance
 
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