In a certain region of space, the electric field É is uniform. (a) Use Gauss's law toprove that this region of space must be electrically neutral; that is, the volume chargedensity p must be zero. (b) Is the converse true? That is, in a region of space wherethere is no charge, must É be uniform? Explain.

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a certain region of space, the electric field E is uniform. (a) Use Gauss's law to ove that this region of space must be electrically neutral; that is, the volume charge nsity p must be zero. (b) Is the converse true? That is, in a region of space where ere is no charge, must E be uniform? Explain.

a certain region of space, the electric field E is uniform. (a) Use Gauss's law to ove that this region of space must be electrically neutral; that is, the volume charge nsity p must be zero. (b) Is the converse true? That is, in a region of space where ere is no charge, must E be uniform? Explain.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 38PQ

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

In a certain region of space, the electric field É is uniform. (a) Use Gauss's law to
prove that this region of space must be electrically neutral; that is, the volume charge
density p must be zero. (b) Is the converse true? That is, in a region of space where
there is no charge, must É be uniform? Explain.

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