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Thevenin equivalent of circuit and maximum power transfer

  1. Aug 3, 2014 #1
    1. The problem statement, all variables and given/known data

    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].

    2. Relevant equations

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

    3. 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.
     

    Attached Files:

  2. jcsd
  3. Aug 3, 2014 #2

    gneill

    User Avatar

    Staff: Mentor

    Looks good!
     
  4. Aug 3, 2014 #3
    Thank you!
     
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