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## Homework Statement

A solar cell has a current–voltage characteristic given by [tex]I=I_0\cos\(\frac{\pi V}{2V_0}\)[/tex] where [tex]I_0[/tex] and [tex]V_0[/tex] are given constants. If the sun shines 12 out of 24 hours what is the maximum energy that can the cell can deliver to a load per year?

## Homework Equations

[tex]P=IV[/tex]

## The Attempt at a Solution

Somehow I get the feeling this is incredibly simple and i'm just missing something. But anyhow, using [tex]P=IV[/tex] I get [tex]P=I_0\cos\(\frac{\pi V}{2V_0}\)V[/tex]. Then taking [tex]\frac{dP}{dV}[/tex] to find a maximum, I get [tex]\tan z = z^{-1}[/tex] where [tex]z=\frac{\pi V}{2V_0}[/tex]. Am I on the right track? Or am I missing something. Thanks!