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Question

. C www.webassign.net/web/Student/Assignment-Responses/submitdepe 1 /698148 eBook 4. -/3 points Tipler6 21.P.071.soln. Two point charges have a total charge equal to 225 HC and are separated by 0.700 m. (a) Find the charge of each particle if the particles repel each other with a force of 120 N HC (larger charge) HC (smaller charge) (b) Find the force on each particle if the charge on each particle is 112.5 HC eBook Submit Assignment Save Assignment Progress Home My Assignments Extension Request WebAssgn3 4.0 1997 2018 Advanced Instructional Systems, Inc. Al rights reserved. 233 ANA

Explanation / Answer

a )

given q1 + q2 = 225 uC

q1 + q2 = 225 X 10-6 C

usinf

F = 9 X 109 q1q2 / r2

120 = 9 X 109 X q1q2 / 0.72

q1q2 = 120 X 0.72 / 9 X 109

q1q2 = 6.533 X 10-9

q1 + q2 = 225 X 10-6

q2 = 225 X 10-6 - q1   

q1(225 X 10-6 - q1) = 6.533 X 10-9

q12 - q1 X 225 X 10-6 - 6.533 X 10-9 = 0

q1 = 0.000251 C

q1 = 251 uC

q2 = 225 X 10-6 - 251 X 10-6

q2 = 26 uC

b )

F = 9 X 109 q1q2 / r2

F = 9 X 109 X 112.52 X 10-12 / 0.72

F = 232.461 N