ƏR ƏR₁ ƏR (a) Find and after solving for R (e.g., R=...). OR₂ (b) Describe how an increase in R₁ with R₂ held constant will change R. (Will R increase or decrease?) (c) Describe how a decrease in R₂ with R₁ held constant will change R. (Will R increase or decrease?)
ƏR ƏR₁ ƏR (a) Find and after solving for R (e.g., R=...). OR₂ (b) Describe how an increase in R₁ with R₂ held constant will change R. (Will R increase or decrease?) (c) Describe how a decrease in R₂ with R₁ held constant will change R. (Will R increase or decrease?)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Suppose two electrical resistors with resistance \( R_1 > 0 \) and \( R_2 > 0 \) are wired in parallel in a circuit:
![Circuit diagram showing two resistors, \( R_1 \) and \( R_2 \), connected in parallel.]
Then the combined resistance \( R \), measured in ohms (\(\Omega\)), is given by
\[
\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}
\]
(a) Find \(\frac{\partial R}{\partial R_1}\) and \(\frac{\partial R}{\partial R_2}\) after solving for \( R \) (e.g., \( R = \ldots \)).
(b) Describe how an **increase** in \( R_1 \) with \( R_2 \) held constant will change \( R \). (Will \( R \) increase or decrease?)
(c) Describe how a **decrease** in \( R_2 \) with \( R_1 \) held constant will change \( R \). (Will \( R \) increase or decrease?)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dc5cf65-67df-4a3e-8bae-308a2a2509c4%2F55c47d86-f11a-45f4-beeb-e99cc011a84d%2F3hzijl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose two electrical resistors with resistance \( R_1 > 0 \) and \( R_2 > 0 \) are wired in parallel in a circuit:
![Circuit diagram showing two resistors, \( R_1 \) and \( R_2 \), connected in parallel.]
Then the combined resistance \( R \), measured in ohms (\(\Omega\)), is given by
\[
\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}
\]
(a) Find \(\frac{\partial R}{\partial R_1}\) and \(\frac{\partial R}{\partial R_2}\) after solving for \( R \) (e.g., \( R = \ldots \)).
(b) Describe how an **increase** in \( R_1 \) with \( R_2 \) held constant will change \( R \). (Will \( R \) increase or decrease?)
(c) Describe how a **decrease** in \( R_2 \) with \( R_1 \) held constant will change \( R \). (Will \( R \) increase or decrease?)
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