Thevenin's Theorem: Solving Homework Statement on Load Current

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Discussion Overview

The discussion revolves around solving a homework problem related to Thevenin's Theorem, focusing on determining the load current in a circuit with a 50 Ω load fed by two voltage sources and their associated reactances. Participants explore various methods including Thevenin's theorem, superposition theorem, and Norton transformations, while addressing complexities introduced by reactance and power factor.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant requests assistance in starting the problem, expressing confusion over incorporating reactance and power factor.
  • Another suggests converting the load to a complex impedance and using complex arithmetic for calculations.
  • There is a discussion about the correct use of the formula for impedance, with some participants debating the interpretation of the power factor and its impact on the impedance calculation.
  • Participants clarify the distinction between magnitude and angle in impedance representation, with one asserting that the load impedance is given in magnitude and needs to be expressed in polar form.
  • There are multiple attempts to calculate the equivalent impedance and voltage, with participants sharing their calculations and seeking validation of their methods.
  • Some participants express confusion about the steps involved in finding Thevenin equivalent voltage and resistance, particularly regarding the open-circuit terminals.
  • There is a discussion about the phase angles of the voltage sources and their implications for calculations, with suggestions to ensure consistency in the trigonometric functions used.
  • Participants inquire about converting voltages to phasor quantities and the significance of RMS values in the context of the problem.

Areas of Agreement / Disagreement

Participants generally agree on the need to apply Thevenin's theorem and other methods to solve for the load current, but there are multiple competing views on the correct approach to calculating impedance and voltage, as well as the interpretation of power factor. The discussion remains unresolved with participants expressing varying levels of understanding and confidence in their calculations.

Contextual Notes

Participants highlight limitations in their understanding of the circuit's behavior when the load is removed, the definitions of the voltage supplies, and the need for careful handling of complex arithmetic. There are also unresolved questions regarding the significance of different phase angles in the voltage sources.

  • #181
Ahhh! Thank you! I was able to transpose that equation for VTh and ended up with the answer I was expecting.

Thanks again.
 
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  • #182
I am currently on part c) and have converted each voltage source and series impedance into a current source and parallel impedance using Ohms Law, I = V/Z which i get 103.75 for v1 and -J69.17 for v2.
Then combining them to get 103.75-j69.17 as my voltage source.
Then to combine J4 and J6 which are in parallel which i make j2.4.

The next bit I'm slightly confused on which is to use current divider rule to calculate the load current which i think is Ix=[Rt/(Rt+Rx)]*It
It= the current source. Please can advise me if I'm on the right track.
 
  • #183
Spongecake said:
I am currently on part c) and have converted each voltage source and series impedance into a current source and parallel impedance using Ohms Law, I = V/Z which i get 103.75 for v1 and -J69.17 for v2.
Then combining them to get 103.75-j69.17 as my voltage source.
I think you mean current source. You added the two Norton sources.
Then to combine J4 and J6 which are in parallel which i make j2.4.

The next bit I'm slightly confused on which is to use current divider rule to calculate the load current which i think is Ix=[Rt/(Rt+Rx)]*It
It= the current source. Please can advise me if I'm on the right track.
Yes, you're on the right track.
 
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  • #184
Hello

I've been struggling with this question for a good three months now. I have read through this whole thread, been into see my tutor (distance learning so contact isn't regular) and got books out from the university library.

And I still don't have the slightest clue with where to even start. Not even a little bit. I have tried to go to other questions on the assignment but there's no luck there either. The course material I'm assuming is similar to that of the others posting on here as it's almost useless.

Attached is all I have so far.

Adam
 

Attachments

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