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Sketch the electric field created by this charge distribution. The figure below shows an imaginary surface that can be used with Gauss's Law to determine the strength of the electric field at any distance r from the line charge. "label" "bottom" "lid" The imaginary surface is kind of like a soup can, with a label part, a lid part, and a bottom part. Is the magnitude of the electric field the same at all points of the label part of the Gaussian surface? Why or why not? What angle do the electric field vectors make with the label, at various points of the label?

Sketch the electric field created by this charge distribution. The figure below shows an imaginary surface that can be used with Gauss's Law to determine the strength of the electric field at any distance r from the line charge. "label" "bottom" "lid" The imaginary surface is kind of like a soup can, with a label part, a lid part, and a bottom part. Is the magnitude of the electric field the same at all points of the label part of the Gaussian surface? Why or why not? What angle do the electric field vectors make with the label, at various points of the label?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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1. Consider a long line of charge, with uniform positive charge per unit length A. perspective view side view end view a) Sketch the electric field created by this charge distribution. d) Is this angle the same at all points of the label? The figure below shows an imaginary surface that can be used with Gauss's Law to determine the strength of the electric field at any distancer from the line charge. e) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? using the flux integral: , Compute this directly S ȕ dà label = label "bottom" f) Answer parts (c) - (e) for the lid part of the Gaussian surface. g) Answer parts (c) - (e) for the bottom part of the Gaussian surface. h) What is the total flux passing outward through the closed Gaussian surface? The imaginary surface is kind of like a soup can, with a label part, a lid part, and a bottom i) How much charge is enclosed by the Gaussian surface? (use information about the charge distribution) part. b) Is the magnitude of the electric field the same at all points of the label part of the Gaussian surface? Why or why not? j) What is the electric field strength E(r) at any distance r from the line charge? c) What angle do the electric field vectors make with the label, at various points of the label? k) For this derivation to work, why is it necessary that the line of charge be infinitely long - or, in practice, very long compared to r?
Transcribed Image Text:1. Consider a long line of charge, with uniform positive charge per unit length A. perspective view side view end view a) Sketch the electric field created by this charge distribution. d) Is this angle the same at all points of the label? The figure below shows an imaginary surface that can be used with Gauss's Law to determine the strength of the electric field at any distancer from the line charge. e) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? using the flux integral: , Compute this directly S ȕ dà label = label "bottom" f) Answer parts (c) - (e) for the lid part of the Gaussian surface. g) Answer parts (c) - (e) for the bottom part of the Gaussian surface. h) What is the total flux passing outward through the closed Gaussian surface? The imaginary surface is kind of like a soup can, with a label part, a lid part, and a bottom i) How much charge is enclosed by the Gaussian surface? (use information about the charge distribution) part. b) Is the magnitude of the electric field the same at all points of the label part of the Gaussian surface? Why or why not? j) What is the electric field strength E(r) at any distance r from the line charge? c) What angle do the electric field vectors make with the label, at various points of the label? k) For this derivation to work, why is it necessary that the line of charge be infinitely long - or, in practice, very long compared to r?
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