If a current I passes through a resistor with resistance R ,Ohm’s Law states that the voltage drop is V= RI . If V  isconstant R and is measured with a certain error, use differentials to show that the relative error in calculating is Iapproximately the same (in magnitude) as the relative errorin R  .

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If a current I passes through a resistor with resistance R ,
Ohm’s Law states that the voltage drop is V= RI . If V  is
constant R and is measured with a certain error, use differentials to show that the relative error in calculating is I
approximately the same (in magnitude) as the relative error
in R  .

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