Thevenin equivalent q. (AC analysis)

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SUMMARY

The discussion focuses on calculating the Thevenin equivalent circuit for an AC analysis problem involving a 10-ohm resistor and a load impedance of 9.6+j2 ohms. The participants clarify that the open circuit voltage (Voc) should be calculated across the terminals a and b, including the series combination of the resistor and inductor. It is established that the 10-ohm resistor is not useless in the calculation, as current flows through the parallel combination of the 100k-ohm resistor and the j50-ohm inductor, affecting the overall circuit analysis.

PREREQUISITES
  • Understanding of Thevenin's theorem in AC circuits
  • Familiarity with impedance calculations in parallel and series configurations
  • Knowledge of voltage divider principles in electrical circuits
  • Basic concepts of complex numbers in circuit analysis
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  • Study Thevenin's theorem applications in AC circuit analysis
  • Learn about impedance transformation techniques in AC circuits
  • Explore voltage divider rule in circuits with complex impedances
  • Investigate the behavior of current in parallel and series circuits
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Electrical engineering students, circuit designers, and anyone involved in AC circuit analysis and Thevenin equivalent calculations.

eeuler
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Homework Statement


r94jgi.jpg


^We're asked to find the "Thevenin's equivalent circuit for the source"

The Attempt at a Solution


I'm a bit unsure how to start this problem. What i initially thought was that i'd combine all my impedances in parallel to the point where it's them combined plus the 10ohm resistor in series, then use the voltage divider..however the part of the circuit labeled as 'load', well am i suposed to find the voltage across the inductor and resistor in series (9.6+j2ohms), as in, is that where my Voc is? And thus the 10ohm resistor is useless in calculating the Thevenin voltage (since the current entering it would be zero)?

Is that how i should approach it? Consider Voc to be where the resistor and inductor are? I don't think i explained myself properly, but this is what i mean:
vfui5u.jpg


Just that in other (similar) problems I've done, they either have just the open circuit nodes a and b (with the rest of the circuit being to the left) or they have an arbitrary load impedance (ZL) connected to a and b nodes (with no value). So am i to find the open circuit voltage between terminals a and b (including the resistor and inductor in series)?
 
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The 9.6+j2 Ohm load must be taken off the circuit in order to calculate the open circuit voltage. The voltage is divided between the 10 Ohm resistor and the parallel of 100k and j50 Ohm.
Why do you say that there is no current through the 10 Ohm resistor?
 
^^Thanks for the reply, but i figured it out :)

I thought that there'd be no current through the 10ohm resistor, because when you're calculating the Voc, the component on the horizontal branch that leads to one of the open terminals, well isn't the current through that branch zero..?
 
eeuler said:
^^Thanks for the reply, but i figured it out :)

I thought that there'd be no current through the 10ohm resistor, because when you're calculating the Voc, the component on the horizontal branch that leads to one of the open terminals, well isn't the current through that branch zero..?

No, because there is current through the 100k resistor and the j50 inductor.
 

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