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Math Help - Application of calculus?

  1. #1
    Super Member fardeen_gen's Avatar
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    Application of calculus?

    Power supplied by a cell to a resistance R is given by P = [E/(R + r)]^2 * R. E and r, remain constant. For what value of R, maximum power is supplied to resistance R?

    Ans: R=r
    Can anyone explain the method?
    Last edited by fardeen_gen; June 29th 2008 at 08:05 AM. Reason: Addition of info
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    If you differentiate, you get:

    \frac{E^{2}(r-R)}{(R+r)^{3}}

    Setting to 0 and solving we see that:

    (r-R)=0, \;\ \therefore{R=r}
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