Solving a circuit with a dependent current source?

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Discussion in 'Homework Help' started by dbavaria, Mar 18, 2005.

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  1. Mar 18, 2005 #1
    dbavaria

    Thread Starter New Member

    Mar 18, 2005
    1
    0
    What is current ib? (aka current accross 2 ohm resistor).

    [​IMG]

    The diamond shaped thing is a dependent current source that is dependent on ia (current across the 8 ohm resistor) and has a gain of 2 ( in other words it is 2ia).
     
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  2. Mar 18, 2005 #2
    Brandon

    Senior Member

    Dec 14, 2004
    306
    0
    Set up some nodal equasions

    Ib=Ia+2Ia Current at top Node
    R3*Ia= 42v - Ib*2 Voltage at top node
    R2*2Ia=42v - Ib*2

    these simplify down to this

    Ib=3Ia
    8*Ia=42-(Ib*2)
    8*Ia=42-(Ib*2) <--- we can toss this one.

    Ib=3Ia
    8*Ia=42-(Ib*2)

    Now we have a current equasion and a voltage equasion.
    2 equasions, 2 unknowns, there you go. Basic algebra now.
     
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