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For circuit (a) in figure 3, prove that the true resistance R is given by: R= R'(1+ R'/Ry) Where R’ = V/I is the measured resistance as given by the voltmeter and current readings and RV is the actual resistance of the voltmeter. (Note that R’/RV is essentially the error of your measurements) Is the true resistance larger or smaller than the apparent resistance? Hint: use the binomial theorem: ___1_______  = 1 + __R'___  1 -(R'/ Ry)               Ry

For circuit (a) in figure 3, prove that the true resistance R is given by: R= R'(1+ R'/Ry) Where R’ = V/I is the measured resistance as given by the voltmeter and current readings and RV is the actual resistance of the voltmeter. (Note that R’/RV is essentially the error of your measurements) Is the true resistance larger or smaller than the apparent resistance? Hint: use the binomial theorem: ___1_______  = 1 + __R'___  1 -(R'/ Ry)               Ry

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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  1. For circuit (a) in figure 3, prove that the true resistance R is given by:

R= R'(1+ R'/Ry)

Where R’ = V/I is the measured resistance as given by the voltmeter and current readings and RV is the actual resistance of the voltmeter. (Note that R’/RV is essentially the error of your measurements) Is the true resistance larger or smaller than the apparent resistance?

Hint: use the binomial theorem:

___1_______  = 1 + __R'___

 1 -(R'/ Ry)               Ry     

 

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