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Dimensional Analysis and units of voltage

  1. May 1, 2009 #1
    1. The problem statement, all variables and given/known data

    The first equation below has units of voltage.

    2. Relevant equations

    [tex]
    V(t)=IR(1-e^{t/RC}) \rightarrow ln|IR - V(t)| = ln|IR|-t/RC
    [/tex]

    3. The attempt at a solution

    the logarithm has units of voltage, but what does ln|IR| and ln|V| physically mean?
     
  2. jcsd
  3. May 2, 2009 #2
    The purpose of this question is that if you plot the natural logarithm of the voltage versus time, it should yield a straight line with slope -1/RC and intercept ln|V_c|.

    From which you can determine the capacitance given a known resistance. Or maybe I should post this in the general physics forum?
     
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