Three point charges are arranged in a horizontal line as shOwn below. Find the e

Question

Three point charges are arranged in a horizontal line as shOwn below. Find the electric forces (in ures of kO/R2) on the charge given the folengi Qt-2·Q-déQ-36 Remember that a positive force points to the right and a negative force points to the left Course Contents * » Hw #7-due suN 10/15 at 11pm . force-num-three-charges-line-vNc.problem Redback-Print ,-18 and Tirrer1 Notes Evaluate what is the net force on charge Submit Answr Tries o/2 What is the net force on charge Q2? Sutmit Answer Tries 0/2 What is the net force on charge Qs kQPR What is the sum of the forces on all three charges Submit AniTries orz Post Discussion 2 3 4

Explanation / Answer

F = kq1q2/r^2

part a )

now force on q1 by q2 and q3

direction of force on q1 by q2 is toward q2 and by q3 is away from q3

F = F12 - F13

F = kq1q2/r1^2 - kq1q3/(r1+r2)^2

q1 = 2Q

q2 = -16Q

q3 = 36Q

r1 = R

r2 = 2R

F = k(32Q^2/R^2 - 36Q^2/9R^2)

F = kQ^2/R^2(32 - 4)

F = 8

part b )

F = F21 - F23

r21 = r1 = R

r23 = r2 = 3R

F = KQ^/R^2( 32 - 144)

F = -112 KQ^2/R^2

part c )

F = F31 + F32

r31 = r1+r2 = 3R

r32 = r2 = 2R

F = 152 KQ^2/R^2

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