💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 39 Medium Difficulty

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 and $ R $ is measured with a certain error, use differentials to show that the relative error in calculating $ I $ is approximately the same (in magnitude) as the relative error in $ R. $


$-\frac{d R}{R}$


You must be signed in to discuss.

Video Transcript

Okay, The first thing, the nose, the eyes that could lead to the over our Therefore the derivative of I is negative v over R square. Do you are the relative error is changing? I over I In other words, d ie the derivative over I This is negative v over r squared d r over v over r, which is negative d r over our