1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Linear circuit analysis question

  1. Sep 8, 2010 #1
    1. The problem statement, all variables and given/known data

    Replace resistor R with a voltage source such that no power is absorbed by either resistor; draw the circuit, indicating the voltage polarity of the new source.

    circuit.jpg

    2. Relevant equations

    Ohm's law, Power = IV = I^2 * R


    3. The attempt at a solution

    I'm honestly not too sure how to begin the problem. The total voltage across the circuit should add up to zero, so I'm guessing the new voltage source must be 12V, but that seems too simple.

    Thanks for the help.
     
    Last edited: Sep 8, 2010
  2. jcsd
  3. Sep 8, 2010 #2
    What must the voltage be across a resistor in order for that resistor not to dissipate power? What would the voltage of a voltage source at R be in order to achieve that condition?

    E.g., start with the 15 k resistor at the top. What would the voltage have to be at the top of R in order for the 15k resistor not to dissipate power?
     
  4. Sep 8, 2010 #3
    I'm honestly not sure what the voltage must be through a resistor in order for it to not dissipate power. Is there a relationship I'm missing?
     
  5. Sep 8, 2010 #4
    What is the formula for power dissipated by a resistor in terms of voltage?
     
  6. Sep 8, 2010 #5
    Ah, got it. I was thinking in terms of P = I*V, but P = V^2/R works too.

    I think my issue with the problem is the phrasing of "dissipating power". Does that mean that power will be zero?

    I'm assuming the voltages would have to be 0 in order for power to be zero.
     
  7. Sep 8, 2010 #6
    That's right, power is zero when the voltage is zero. What voltage would a voltage source at R have to be to get zero volts across the resistors?
     
  8. Sep 8, 2010 #7
    Ah I got it, R should be replace with +12 volts. That way there is a net voltage of 0 throughout the circuit thus power at the top and bottom resistors must be 0?
     
  9. Sep 8, 2010 #8
    Very good.
     
  10. Sep 8, 2010 #9
    Thanks a lot, you were a big help
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Linear circuit analysis question
Loading...