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Maximum power output suppose the source of current in an

Question: MAXIMUM POWER OUTPUT Suppose the source of current in an electric circuit is a battery. Then the power output P (in watts) obtained if the circuit has a resistance of R ohms is given by

P = E²R/(R + r)²

Where E is the electromotive force in volts and r is the internal resistance of the battery in ohms. If E and r are constant, find the value of R that will result in the greatest power output. What is the maximum power output?

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