A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the rod is +Q Coulombs. We want to determine the total electric field at a general point, P located on the r-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y P 1. Is this a one or two dimensional, source-charge integration? 2. What will be the coordinate that serves as the integration variable? 3. What should we expect the y-component of the total electric field at point P to be? 4. What is the position vector for the field point, P! 5. What is the position vector for a differential element of the source charge distribution? This differential element of charge is labeled dq.

A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the rod is +Q Coulombs. We want to determine the total electric field at a general point, P located on the r-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y P 1. Is this a one or two dimensional, source-charge integration? 2. What will be the coordinate that serves as the integration variable? 3. What should we expect the y-component of the total electric field at point P to be? 4. What is the position vector for the field point, P! 5. What is the position vector for a differential element of the source charge distribution? This differential element of charge is labeled dq.

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 77PQ: A When we find the electric field due to a continuous charge distribution, we imagine slicing that...

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