Solved: Resistors in parallel Two resistors in an

Chapter 12, Problem 75

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Resistors in parallel Two resistors in an electrical circuit with resistance R1 and R2 wired in parallel with a constant voltage give an effective resistance of R, where 1 R = 1 R1 + 1 R2 . a. Find 0R 0R1 and 0R 0R2 by solving for R and differentiating. b. Find 0R 0R1 and 0R 0R2 by differentiating implicitly. c. Describe how an increase in R1 with R2 constant affects R. d. Describe how a decrease in R2 with R1 constant affects R.

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