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ID: 1404555 • Letter: E

Question

edugen. wileyplus.com WileyPLUS: MyWilleyPLUSI Help 1 Contact Us I Log Out LUS dy & Practice A n Assignment Cutnell, Physics, 9e College Physics 1 and 11 (PHY 2053/254) Assignment N PRINTER VERSION BACK NEXT URCESchapter Chapter 19, Problem 16 Go em 09 em 10 me The drawing shows a square, each side of which has a length of L 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q,--5.00 x 10-9 C placed at corner A and then at corner B. Find the electric potential energy of a third charge a | 5.00 x 109 C placed at corner A and then at corner B. lem 30 lem 37 lem 41 lem 54 lem 55 lem 64 Study EPEA- EPEB = Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 5 used save rOR LATER .LL

Explanation / Answer

Given,
q1 = 1.5 * 10^-9 C
q2 = 4 * 10^-9 C
q3 = -5 * 10^-9

When q3 is placed at corner A -
Electric potential energy = K q1 q3 /r1 + Kq2 q3 /r2
Electric potential energy = K*q3 (q1/r1 + q2/r2)
Electric potential energy = 8.9 * 10^9 * 5 * 10^-9 (1.5 * 10^-9 /sqrt(0.25^2 + 0.25^2) + 4 * 10^-9 /0.25)
Electric potential energy = 9 * 10^-7 v

When q3 is placed at corner B -
Electric potential energy = K q1 q3 /r1 + Kq2 q3 /r2
Electric potential energy = K*q3 (q1/r1 + q2/r2)
Electric potential energy = 8.9 * 10^9 * 5 * 10^-9 (1.5 * 10^-9 /0.25 + 4 * 10^-9 /sqrt(0.25^2 + 0.25^2))
Electric potential energy = 7.70 * 10^-7 v

EPEA =  9 * 10^-7 v
EPEB = 7.7 * 10^-7 v