Thevenin equivalent of circuit and maximum power transfer

  • Engineering
  • Thread starter bizuputyi
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  • #1
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Homework Statement



Find the Thévenin equivalent of the circuit and the required value of the load for maximum power transfer for [itex] Z = 15 + j24 Ω [/itex].

Homework Equations



Voltage divider equation and [itex] Z_{in} = Z_{load} [/itex] 'complex conjugate' for maximum power transfer.

The Attempt at a Solution



Thévenin equivalent:

Since there is no current flowing through 2.5Z:

[itex] V_{out} = V_{in} \times \frac{2 \parallel 5}{2 + (2 \parallel 5)} = 0.4167 V_{in} [/itex]

[itex] Z_{total} = 0.67Z [/itex]

Maximum power transfer:

[itex] Z_{load} = 0.67 \times (15-j24) = 10 - j16 Ω[/itex]

Does this appear to be correct?
Thank you for anyone looking into that.
 

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Answers and Replies

  • #2
gneill
Mentor
20,925
2,867
Looks good!
 
  • #3
42
1
Thank you!
 

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