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Find reading of voltmeters

  1. May 10, 2014 #1

    utkarshakash

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    1. The problem statement, all variables and given/known data
    In the circuit shown below, all three voltmeters are ideal and identical. Each resistor has the same given resistance R. Voltage V is also given. Find the reading of each voltmeter.


    3. The attempt at a solution

    i = 2V/3R
    Applying Kirchhoff's Law to BACDE
    V1+V2=0

    Loop CDHFG
    V1+V3=2V/3

    Loop DEH
    V2+V3=2V/3

    Solving these three, I get incorrect answers.
     

    Attached Files:

  2. jcsd
  3. May 10, 2014 #2

    phyzguy

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    You've calculated I incorrectly. Since the voltage V appears across 3 R's in series, I = V/(3R).
     
  4. May 10, 2014 #3

    utkarshakash

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    Oops! I used incorrect notation for current. The current in the circuit as a whole is 2V/3R. The currrents in individual branches are V/3R.
     
  5. May 10, 2014 #4

    phyzguy

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    Correct. Does this solve your original problem?
     
  6. May 10, 2014 #5

    utkarshakash

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    No. The correct answers are V1=V2=V/9 and V3=2V/9
     
  7. May 10, 2014 #6

    phyzguy

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    If you've posted the problem correctly, I don't think that can be the correct answer. VC = VE = V/3, so V1 and V2 should both read 0 and V3 should read V/3.
     
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