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Maximum power of circuit with dependent voltage source

  1. Apr 16, 2015 #1
    1. The problem statement, all variables and given/known data
    upload_2015-4-16_7-58-20.png

    2. Relevant equations
    V(oc) = I(sc) * R(th)
    Kirchoff's voltage law
    3. The attempt at a solution
    a) is okay. For part b):

    After redrawing with the R(th) and V(th) found in part a):

    Equations of loops:
    s is I(sc)
    a is I(left loop)

    left loop:
    -8 + a(4000) + (a-s)(4000) = 0

    right loop:
    (s-a)(4000) - (2000)x = 0

    I(x):
    a-s = x

    I(sc) comes out to 0.2 mA
    Then V(oc) = I(sc) R(th)
    4 V = (0.002 A) R(th)
    R(th) = 2 kOhm = R(L max)

    However, this is 1 kOhm off from the answer.

    What is the problem with the above working?

    Thank you very much.
     

    Attached Files:

  2. jcsd
  3. Apr 16, 2015 #2
    All is good, thanks!
     
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