PRINTER VERSION BACK Chapter 21, Problem 010 tn the figure four particles form a

Question

PRINTER VERSION BACK Chapter 21, Problem 010 tn the figure four particles form a square with edge length a 3.69 x 102 m. The charges are q -q4-1.62 x 10-15 C and q2-43q. (a) What is q if the net electrostatic force on particle 1 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? 3 Number the tolerance is + /-2% Click if you would like to Show Work for this question: Open Show Work Units By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor to search 252 PM 2/4/2018

Explanation / Answer

a] As force on q1 is zero, electric field at the location is also zero.

kq4/(2a^2) + 2*kq/a^2 cos 45 degree = 0

q4/2 + 2q cos 45 degree = 0

q = - q4/( 2* sqrt 2) = -1.62e-15/[2* sqrt 2 ] = -5.727 *10^-16 C

b] No, because at this value of q, force on q2 is not zero as magnitude of q1 and q4 is larger than q3.

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