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Finding the Resistance in an RC Circuit

  1. Apr 8, 2013 #1
    1. The problem statement, all variables and given/known data
    A 10-µF capacitor is charged by a 10-V battery through a resistance R. The capacitor reaches a potential difference of 4 V in a period of 3 s after the charging began. Find the value of R.


    2. Relevant equations

    c=q/v
    q=CE(1-e^-t/RC)
    i=(E/R)e^(-t/RC)


    3. The attempt at a solution

    I found the charge on the capacitor when its at 4 volts and got 4.0 * 10^-5 C. I then tried to plug this into the equation for a capacitor charging, but I dont know the time at which the capactior is at 4 volts.

    At this point, I attempted finding another equation, so I could attempt a system of 2 equations with 2 unknowns. I tried to use the current in a capactor charging equation, but I ended up getting infinitely many solutions.

    I am not entirely sure how to approach this problem.
     
  2. jcsd
  3. Apr 8, 2013 #2

    wukunlin

    User Avatar
    Gold Member

    I thought...

     
  4. Apr 8, 2013 #3
    Use c = q/v to find the charge. Then plug that into the second equation at t = 3 s, because the capacitor begins charging at t = 0. So since it reaches 4 V after 3 s of charging, t = 3 s when the capacitor is charged to 4 V.
     
  5. Apr 8, 2013 #4
    Jesus. I had half of the question cut off at the most important part. Thank you both lol
     
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