Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.3, Problem 2.26P
To determine

The potential difference between points a and b of a conical surface that carries a uniform surface charge density σ .

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A uniform insulating sphere of radius a with charge Q1 = 0.8 nCis concentric with a = 11.0 cm conducting spherical shell ofinner radius b = 20.0 cm, outer radius c = 30.0 cm andcharge Q2 = 2.0 nC as shown in the figure.If the center of the sphere is chosen as the origin of thecoordinate system, find the potential differenceV (x = a/2 , y = 0 , z = 0) − V (x = 0 , y = (b + c)/2 , z = 0)in units of Volts.Take 14πε0= 9.0 × 109 Nm2/C2.
Describe schematically the equipotential surfaces corresponding to(a) a constant electric field in the z-direction,(b) a field that uniformly increases in magnitude but remains in a constant (say, z) direction,(c) a single positive charge at the origin, and(d) a uniform grid consisting of long equally spaced parallel charged wires in a plane.
Compute for the work done, in millijoules, in moving a 3-nC charge from A(4, 0, 0) m to B(4, 0, 0) m against the electric field due to a disk charge of radius 2 m on the plane x = 0 centered at the origin. The disk has a total charge of 9 mC.

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Introduction to Electrodynamics

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