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Question

x ab-02.1172. x Wiley PLUS x C Secure https:// wileyplus.com/edugen/student/mainfr.uni edugen Apps O Formatting The Java o Complete printf for Je fs used 2007 Lexus ES 3 D New Tab cts used 2009 Toyo E Articles citations with IA Get Your Homework cts used 2007 Toyota Ava WileyPLUS Halliday, Fundamentals of Physics, 10e Phys PHYS 1303, 1304, 1307, 1308 Gradebook ORION Read, Study & Pract Open Assignment NEXT Chapt 21 P 010 In the figure four particles form a square with edge length a 2.53 x 10 2m. The charges are q a4- 2.26 x 10 15 Ca q2 as 1. (a) What is a if the net electrostat once on particle 1 is zero? (b) ts there any value of q at makes the net electrostatic force on each of the four particles zero Yes Chapter 21 Problem Number Units the tolerance is +/-1 the 3rd significant digit Click if you would like to show work for this question: gpen Review Results by n Attempts: o Quest Agreement I I 200Q 201Zlebo All Rights Reserved. A Division of lobn SRD Los. Version 4.22 4) c :46 PM ENG 2/2/2017 Type or speak to me

Explanation / Answer

a) force on q1 by q2,
F12 = k*q1*q2/a^2

= k*q1*q/a^2

force on q1 by q3,
F13 = k*q1*q3/a^2

= k*q1*q/a^2

here, F12 and F13 are perpendicualr to each other.

the resultant of F12 and F13,

F123 = sqrt(2)k*q1*q/a^2

force on q1 by q4,
F14 = k*q1*q4/(2*a^2)

net force acting on q1 = 0

so,

F14 = F123

k*q1*q4/(2*a^2) = sqrt(2)k*q1*q/a^2

q4/2 = sqrt(2)*q

==> q = q4/(2*sqrt(2))

= 2.26*10^-15/(2*sqrt(2))

= 7.99*10^-16 C

b) yes.