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physics- electricity help

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cashem'up:
why is the power dissipated max when the internal resistance is equal to the load resistance................plz explain

astarmathsandphysics:
It is a complicated maths thing. You differentiate and set equal to zero.

cashem'up:
its ok can u show me how to do it......is it like finding the stationary point and the maxima and minima...........jst explain....nd then please support with theological statement

astarmathsandphysics:
Ok when I get home

astarmathsandphysics:
Pout=Iout Vout =V/(R+r)*VR/(R+r)=VR/(R+r)^2
d(P out)/dR =V((R+r)^2 -2(R+r)R)/(R+r)^4 =0
0=(R+r)^2-2(R+r)R
r^2-R^2=0 so r=R

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