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An infinite line charge of p, [C/m] is located a distance d above an infinite ground plane, as shown below. Using the result of Example 3-5 in Cheng (field of a line charge) and your knowledge of image theory: conductor a. Find the induced charge density on the conductor. b. Show that the total charge density induced on the conductor is -p, [C/m]. c. Find the force of attraction between the line charge and conductor (per unit length in the z-direction). This is sometimes called an image force.

An infinite line charge of p, [C/m] is located a distance d above an infinite ground plane, as shown below. Using the result of Example 3-5 in Cheng (field of a line charge) and your knowledge of image theory: conductor a. Find the induced charge density on the conductor. b. Show that the total charge density induced on the conductor is -p, [C/m]. c. Find the force of attraction between the line charge and conductor (per unit length in the z-direction). This is sometimes called an image force.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An infinite line charge of p, [C/m] is located a distance d above an infinite ground plane, as shown below. Using the result of Example 3-5 in Cheng (field of a line charge) and your knowledge of image theory: conductor a. Find the induced charge density on the conductor. b. Show that the total charge density induced on the conductor is -p, [C/m]. Find the force of attraction between the line charge and conductor (per unit length in the z-direction). This is sometimes called an image force. c.
Transcribed Image Text:An infinite line charge of p, [C/m] is located a distance d above an infinite ground plane, as shown below. Using the result of Example 3-5 in Cheng (field of a line charge) and your knowledge of image theory: conductor a. Find the induced charge density on the conductor. b. Show that the total charge density induced on the conductor is -p, [C/m]. Find the force of attraction between the line charge and conductor (per unit length in the z-direction). This is sometimes called an image force. c.
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