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Electric Circuits

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Date Posted: 7/22/2008 6:29:09 PM  Status: Closed
Electric Circuits
Course Textbook Chapter Problem
Analog Circuits Fundamentals of Electric Circuits (3rd) by Alexander, Sadiku 11 14P
Question Details:
It is desired to transfer maximum power to the load Z in the circuit of Fig 11.45.  Find Z and the maximum power.  Let is=5cos40t Amps.
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Date Posted: 7/22/2008 9:27:07 PM  Status: Live
Asker's Rating: Lifesaver   
Response:
First we need to calculate thevinen equivaleant of the circuit.
 
Thevenin impedance is
 
 
 
To find the Vth
 
 
open circuit voltage is voltage across 12Ω resistor
 
current through 12Ω Resistor is
 

 
∴Thevenin equivalent for the above circuit is
 
To transfer maximum power through the load Z must be complex conjugate of the thevenin impedance
 
Z=8.0075+j0.325
 
∴maximum power through the load is =
 
I hope this helps u............................
 
 
DrewF's Comment:
Thanks!



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