So the Problem states as follows: Two batteries, each of Voltage V and internal resistance r, are connected in parallel. This parallel connection is then connected in parallel with a Resistor of Value R.(adsbygoogle = window.adsbygoogle || []).push({});

a) For What Value of R is the Power is maximum?

b) If V=12 and r=.03, what is the power dissipated across the resistor?

Okay, so I understand that this involves a little bit of differential calculus, no big deal. I am also aware that Power=(i^2)R, where i is the current through the resistor R. I am also aware the this requires some serious loop rule action in order t be soleved, hence the upcoming problem; I have trouble With the equations and thier "plus and minus" consistency so to speak. Can Someone hook it up with a clue or two?

BTW, the internal resistance is to the right of each battery....if that helps at all.

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# A rather challeging circuit problem

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