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
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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Please answer the all of question 1. The assignment is not graded. Just hints to the questions :]

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.
Transcribed Image Text: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.
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