# Solutions HW3.pdf - CHAPTER 3 – 9th Edition 3.1. Suppose...

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3.2.An electric field in free space isE= (5z2/0)ˆazV/m. Find the total charge contained withina cube, centered at the origin, of 4-m side length, in which all sides are parallel to coordinateaxes (and therefore each side intersects an axis at±2.
3.3.Consider an electric dipole in free space, consisting of a point chargeqat locationz= +d/2,and a point charge-qat locationz=-d/2. The electric field intensity in thexyplane is(see Problem 2.7):E=-qdaz4π0[ρ2+ (d/2)2]3/2whereρis the radius from the origin in cylindrical coordinates.a) Determine the net electric flux associated with this field that penetrates thexyplane:b) Interpret your result as it relates to Gauss’ Law: In the dipole configuration, all fieldlines terminate on the two charges. Therefore, a closed surface that is drawn around theupper charge, and which includes the entirexyplane will show outward flux that passesthrough thexyplane only. This flux will equal the enclosed charge ofq.

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Term
Fall
Professor
CITRIN
Tags
Flux, Magnetic Field, Electric charge, Fundamental physics concepts