1. Consider a very long charged rectangle of width a with surface charge per unit area of o. Assume that the narrow width lies along the x-axis, and the length L is long enough to approximate as infinite. L lies along the z-axis. a) Find the electric field at a distance x from the center of the rectangle along the x- axis. b) Find the electric field a distance y along the y-axis (into the paper as shown here). What does the electric field look like in the limits x>>a and y>>a? Why is this a asymptotic form reasonable?

1. Consider a very long charged rectangle of width a with surface charge per unit area of o. Assume that the narrow width lies along the x-axis, and the length L is long enough to approximate as infinite. L lies along the z-axis. a) Find the electric field at a distance x from the center of the rectangle along the x- axis. b) Find the electric field a distance y along the y-axis (into the paper as shown here). What does the electric field look like in the limits x>>a and y>>a? Why is this a asymptotic form reasonable?

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 34PQ: A very long line of charge with a linear charge density, , is parallel to another very long line of...

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