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?

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.

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 29PQ: Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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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