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Maximum Power Transfer Ideal Transformer

  1. Dec 13, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-12-13_10-26-7.png
    Given the following circuit find the value of ZL for maximum average power transfer and find the maximum power.

    2. Relevant equations
    n = N2/N1
    V2/V1 = N2/N1
    I2/I1= N1/N2
    3. The attempt at a solution
    move ZL from the secondary coil to the primary coil using Zs* = ZL/n^2
    ZL = 4(3+2j) = 12 +8j
    P = (12)^2/ [(8)(12)] = 1.5W

    I want to verify if this is the right method
     
  2. jcsd
  3. Dec 13, 2016 #2

    cnh1995

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    Right.
    This is incorrect. Looking at the equivalent circuit referred to primary, which formula will you use for calculating power dissipated in the load?
     
  4. Dec 13, 2016 #3
    I see thank you for the response. When dealing with this problem would you determine the current I by dividing the given voltage by the sum the 2 impedances. Then we can say that S= I^2Z so P = the real component of S
     
  5. Dec 13, 2016 #4

    cnh1995

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    Right.
    Note that the power you get will be the real power since there is no reactive power in the circuit. So, S=P.
     
  6. Dec 13, 2016 #5
    And this would be the maximum power?
     
  7. Dec 13, 2016 #6

    cnh1995

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    Yes.
     
  8. Dec 13, 2016 #7
    Thank you sir!
     
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