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Circuit analysis question help?

  1. May 3, 2013 #1
    1. The problem statement, all variables and given/known data

    We have the circuit in the figure. http://oi40.tinypic.com/30kgl78.jpg.I have to find i and v1.

    2. Relevant equations


    Current division,KCL.KVL.
    3. The attempt at a solution
    I havent seen any circuit like this. How to relate the left part of the circuit with the right one?
     
  2. jcsd
  3. May 3, 2013 #2

    gneill

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    Staff: Mentor

    The left and right parts of the circuit are related through the dependent voltage source in the right. Imagine that there's a mechanism in place which measures v1 across the 2Ω resistor and sets the value of the voltage source accordingly.

    attachment.php?attachmentid=58438&stc=1&d=1367578795.jpg

    No current can flow if there isn't a closed circuit (loop). So the wire joining the two circuit sections only provides a common reference node. So other than the dependent source mechanism, the two parts of the circuit are effectively isolated from each other.
     

    Attached Files:

  4. May 3, 2013 #3

    CWatters

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    Science Advisor
    Homework Helper

    What gneil said.

    The diamond on the right is a "dependant voltage source". It's voltage is dependant on the voltage (Vi) across the 2 Ohm resistor. In this case it has a gain of 4 meaning that it's output voltage is 4 * Vi. I suppose it's proper name would be a "Voltage controlled voltage source". In the real world this might be something like an amplifier. They also produce an output voltage that depends on the input voltage.

    There are four main types of dependant source depending on the characteristics of the input and output..

    Voltage controlled voltage source
    Voltage controlled current source
    Current controlled voltage source
    Current controlled current source
     
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