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The power output function is .
Where is electromotive force volts.
is resistance ohms.
So .
When then .
When then .
To find the maximum output power , derivative the power function and equate to zero.
Apply derivative with respect to .
Equate it to zero .
Critical number is .
When then .
When then .
So the maximum out power occurs when .
The maximum out power lies in the interval ( amp fuse ).
The power output will not increase by replacing the amp fuse with amp fuse.
Because the output power decreases for .
The maximum out power is .
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