Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.5, Problem 2.59P
To determine

Whether, the given theorem holds true or not.

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Would be able to help me answer this please? Consider a straight, non-conducting rod of length L that is charged such that its charge density increases linearly from zero at one end to a maximum λₒ at the other. Derive an expression for the total charge on the conductor in terms of L and λₒ.   I know that the total charge density is equal to αx (α being a constant and x being a small amount of L), and that dq=λdx and that you integrate, but how am I meant to get it in terms of λₒ and L ???
Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is 10 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A.
Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to 94 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at B.

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Introduction to Electrodynamics

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Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY