Item 14Four identical charges, +Q, occupy the corners of a square with sides oflength a. A fifth charge, q, is added. It is known that the net electric forceacting on each of the original four charges, +Q, is zero.Part AFind the location of the fifth charge, q.at the cornerat the center of the squareoutside of the squareon the square sideSubmitq=Part BFind the value of q.Express your answer in terms of some or all of the variables Q, a, and appropriate constants.Request AnswerSubmit—| ΑΣΦRequest Answer?

Answered: Four identical charges, +Q, occupy the…

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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Item 14
Four identical charges, +Q, occupy the corners of a square with sides of
length a. A fifth charge, q, is added. It is known that the net electric force
acting on each of the original four charges, +Q, is zero.
Part A
Find the location of the fifth charge, q.
at the corner
at the center of the square
outside of the square
on the square side
Submit
q=
Part B
Find the value of q.
Express your answer in terms of some or all of the variables Q, a, and appropriate constants.
Request Answer
Submit
—| ΑΣΦ
Request Answer
?

Expert Solution

Step 1

$We have to place a negative charge q at the center of the square to make net force on each + Q charge zero, as per the symmetry of the problem because all charges on corner of square are like in identical setup thus the new charge q should be at same distance from them to maintain symmetry, and such point is only the center of square . so location on fifth charge q is at the center of the square$

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