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Three electrical resistors Extending Exercise 62, when
Chapter 10, Problem 59E(choose chapter or problem)
Three electrical resistors Extending Exercise 58, when three electrical resistors with resistance \(R_{1}>0, R_{2}>0, \text { and } R_{3}>0) are wired in parallel in a circuit (see figure), the combined resistance R is given by \(\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}\). Estimate the change in R if \(R_{1}\) increases from 2 ohms to 2.05 ohms, \(R_{2}\) decreases from 3 ohms to 2.95 ohms, and \(R_{3}\) increases from 1.5 ohms to 1.55 ohms.
Questions & Answers
QUESTION:
Three electrical resistors Extending Exercise 58, when three electrical resistors with resistance \(R_{1}>0, R_{2}>0, \text { and } R_{3}>0) are wired in parallel in a circuit (see figure), the combined resistance R is given by \(\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}\). Estimate the change in R if \(R_{1}\) increases from 2 ohms to 2.05 ohms, \(R_{2}\) decreases from 3 ohms to 2.95 ohms, and \(R_{3}\) increases from 1.5 ohms to 1.55 ohms.
ANSWER:
Solution 59EConsider the equation Refer from the circuit diagram Suppose Since changes from Therefore And changes from Therefore And changes from Therefo