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If a current $I$ passes through a resistor with resistance $R$Ohm's Law states that the voltage drop is $V=R I$ . If $V$ isconstant and $R$ is measured with a certain error, use differ-entials to show that the relative error in calculating $I$ isapproximately the same (in magnitude) as the relative errorin $R .$
$-\frac{d R}{R}$
Calculus 1 / AB
Chapter 2
DERIVATIVES
Section 8
Linear Approximations and Differentials
Derivatives
Differentiation
Applications of the Derivative
Harvey Mudd College
Idaho State University
Boston College
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so badly on low. We have loved both equals toe the resistance times, half the current. Um so we re right is as I equals to be over our So we fixed the, um, about it here. So basically what I'm way are saying that the current is a function in terms of our set. A different show equals two minus V over R squared times, the ark and the relative era. It's just g I over I which is minus the times t r o r square divided by the aura. So after the cancellation, we have minus Dror, which is a relative era off the current high.
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