Norton theorem,max. power transfer

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SUMMARY

The discussion centers on calculating the maximum power transfer to a load impedance represented as (20 + 30j) using Norton’s theorem. Participants highlight the redundancy of specifying the load impedance when it can be replaced with the complex conjugate of the Norton impedance. The conversation reveals that different methods yield varying results, with one method being validated as correct. The focus is on understanding the implications of load impedance in power transfer calculations.

PREREQUISITES
  • Norton’s theorem
  • Complex impedance analysis
  • Power transfer principles
  • Electrical circuit analysis techniques
NEXT STEPS
  • Study the application of Norton’s theorem in circuit analysis
  • Learn about complex conjugates in impedance calculations
  • Explore methods for calculating maximum power transfer
  • Investigate peak instantaneous power delivery to loads
USEFUL FOR

Electrical engineering students, circuit designers, and professionals involved in power systems analysis will benefit from this discussion.

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Homework Statement



How should I calculate the max. power transfer to Xload?
The (20+30j) of Xload,it is not necessary.

Homework Equations



I try to find the answer,but I got two answers by different method.

The Attempt at a Solution



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Question: Why does your diagram bother to specify a load impedance (20 + 30j) if it's just going to be replaced with the complex conjugate of the Norton (or Thevenin) impedance? Are you sure that the problem is asking for this rather than, say, the peak instantaneous power delivered to the given load?

For what you've shown, your "second method" gives a correct answer. I'm not sure what the first method is all about; I don't recall seeing it before.
 

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