1) Four point charges lie along the x axis in our problem. They are: +1 μC at x = -0.3 m -1 μC at x = -0.1 m -1 μC at x = +0.1 m +1 µC at x = +0.3 m a) What is the value of the x-component of the electric field at points along the y-axis? b) What is the electric potential along the y-axis? (taking, as usual, the zero for potential at infinity.) c) Write the expression the work done in bringing this array together. You don't need to simplify the sum after writing it out, but you need to write out each term with relevant values and constants. (HINT: Note that there are six terms in the sum you need to do.) d) How does the potential approach zero in the limit as y goes to infinity? (That is, what functional form.) Justify why this is different than the form for a point charge, or even the "dipole" example done in class.

1) Four point charges lie along the x axis in our problem. They are: +1 μC at x = -0.3 m -1 μC at x = -0.1 m -1 μC at x = +0.1 m +1 µC at x = +0.3 m a) What is the value of the x-component of the electric field at points along the y-axis? b) What is the electric potential along the y-axis? (taking, as usual, the zero for potential at infinity.) c) Write the expression the work done in bringing this array together. You don't need to simplify the sum after writing it out, but you need to write out each term with relevant values and constants. (HINT: Note that there are six terms in the sum you need to do.) d) How does the potential approach zero in the limit as y goes to infinity? (That is, what functional form.) Justify why this is different than the form for a point charge, or even the "dipole" example done in class.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter16: Electrical Energy And Capacitance

Section: Chapter Questions

Problem 18P: A positive point charge q = +2.50 nC is located at x = 1.20 m and a negative charge of 2q = 5.00 nC...

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