Complex Notation - Electrical Circuit

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SUMMARY

The discussion focuses on solving electrical circuit problems using complex notation, specifically for finding output voltage (v0) and input current (ig). Key errors identified include misinterpretation of the input as a current source rather than a voltage source and confusion regarding the impedance of a 1.2 mH inductor. The incorrect assumption that both the resistor and inductor carry the same current in a parallel configuration led to significant calculation errors. Participants emphasized the importance of understanding circuit components' behavior in parallel versus series arrangements.

PREREQUISITES
  • Complex notation in electrical engineering
  • Understanding of impedance in AC circuits
  • Knowledge of series and parallel circuit configurations
  • Basic principles of voltage and current sources
NEXT STEPS
  • Study complex impedance calculations for inductors and capacitors
  • Learn about Kirchhoff's laws for circuit analysis
  • Explore the application of phasors in AC circuit analysis
  • Review the differences between series and parallel circuits in detail
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Electrical engineering students, circuit designers, and anyone seeking to enhance their understanding of complex notation in electrical circuits.

amy1983
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Homework Statement



1 (a) using complex notation, find an expression for the output voltage, v0
1 (b) using complex notation, find an expression for the input current, ig, and hence determine the phase angle of ig relative to vg


Homework Equations





The Attempt at a Solution


See attached two attempts, in jpgs. I've gotten myself very confused! If someone could advise that would be great.
 

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  • Possible Solution 2.jpg
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1.2 mH is not the same as 0.001 H; you've dropped a significant figure. This in turn has significantly altered your impedance value for the inductor, with the error propagating through your further calculations.

The input is specified as a voltage source, and you've treated it as a current. This is not correct.

You've then assumed that both the resistor and the inductor are conducting the entire "current" of 40A. They are in parallel so this is not possible; Parallel branches have the same potential difference, but not necessarily the same current. It's series components that have the same current.
 
Thank you gneill, i'll have to look at it and perhaps get a physics tutor.
 

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