Answered: Find the electric field at a height z…

Find the electric field at a height z above the center of a square sheet (side a)carrying a uniform surface charge u.check your result for the limiting cases a~oo and z>>a

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 22PQ

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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.

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Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.
Consider a uniform electric field of E = ⟨E cos θ, E sin θ, 0⟩ and a flat disk of radius R. a) What is the electric flux through the disk if it sits in the xy-plane? b) What is the electric flux through the disk if it sits in the xz-plane?
(a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q , radius R, and length l. Determine the electric field at a point a distance d from the right side of the cylinder as shown in the Figure. Suggestion: treat the cylinder as a collection of ring charges. (b) Consider now a solid cylinder with the same dimensions and carrying the same charge,uniformly distributed through its volume.
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