The electric power in watts in a direct-current circuit with two resistors and connected

Chapter 3, Problem 86

(choose chapter or problem)

Power   The electric power P in watts in a direct-current circuit with two resistors \(R_{1}\) and \(R_{2}\) connected in parallel is

\(P=\frac{v R_{1} R_{2}}{\left(R_{1}+R_{2}\right)^{2}}\)

where v is the voltage. If v and \(R_{1}\) are held constant, what resistance \(R_{2}\) produces maximum power?

Text Transcription:

R_1

R_2

P=vR_1R_2/(R_1+R_2)^2

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