Problem with inductors and Capacitors in Series (AC Theroy)

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SUMMARY

The discussion centers on solving an AC circuit problem involving a resistor, inductor, and capacitor in series, with a source voltage of Vs=750 Cos(5000t) mV. The components include a 400 Ohm resistor, a 40 mH inductor, and a 0.4 µF capacitor. The user initially struggled with determining the correct frequency to use in calculations, mistakenly using 5000 instead of the teacher's value of 5, which was due to unit conversion. The solution involves calculating the impedances of each component and summing them to find the total impedance.

PREREQUISITES
  • Understanding of AC circuit analysis
  • Familiarity with impedance calculations for resistors, inductors, and capacitors
  • Knowledge of complex numbers in electrical engineering
  • Ability to perform unit conversions in electrical equations
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  • Study the calculation of impedance for RLC circuits in series
  • Learn about the significance of frequency in AC circuit analysis
  • Explore the use of phasors in solving AC circuit problems
  • Review unit conversion techniques in electrical engineering contexts
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Electrical engineering students, circuit designers, and anyone involved in analyzing AC circuits with inductors and capacitors.

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Homework Statement



Find the steady state expresion for i(t) in the circuit if Vs=750 Cos(5000t) mV

All componets are in series

Resitor = 400 Ohms
Inductor = 40mH
Cap = .4 [tex]\mu[/tex]F

Homework Equations





Xc= 1/(j*w*C)
Xl = j*w*L
Xr = R


The Attempt at a Solution



Ok I know how to do most of the problem but, when I look at the teachers solution it throws me off. What I would do is first find the impedences of all of the componets and then add them toghether to find the total. Then divide the voltage by the impedence and viola all done. My dilema is what frequency to use. I started out by using 5000 but, when I look at the teachers solution he used 5. I'm assuming this is because of the mV but, I thought that the frequency is independent from the voltage. It shouldn't matter what units of voltage are there since it's just a scalar. Anyways any help would be apprecieted.

Thanks
 
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Nevermind I figured out what he was doing. He was simply droping zeros and moving the decimal points. grrrr stupid mistake.
 

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