The formula for the power output of a battery is where is the electromotive force in

Chapter 3, Problem 61

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Power   The formula for the power output P of a battery is \(P=V I-R I^{2}\), where V is the electromotive force in volts, R is the resistance in ohms, and I is the current in amperes. Find the current that corresponds to a maximum value of P in a battery for which V = 12 volts and R = 0.5 ohm. Assume that a 15 -ampere fuse bounds the output in the interval \(0 \leq I \leq 15\). Could the power output be increased by replacing the 15-ampere fuse with a 20-ampere fuse? Explain.

Text Transcription:

P=VI-RI^2

0 <= I <= 15

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