Zain KW LTE 12:03 AM 156% a session.masteringphysics.com Alternative Exercise 22

Question

Zain KW LTE 12:03 AM 156% a session.masteringphysics.com Alternative Exercise 22.68 An insulating sphere of radius 0.170 m has uniform charge density 9.20 10-9 C/m3.A small object that can be treated as a point charge is released from rest just outside the surface of the sphere. The small object has positive charge 4.20 106C Part A How much work does the electric field of the sphere do on the object as the object moves to a point very far from the sphere? Express your answer to three significant figures and include the appropriate units. W. Value Units Provide Feedback

Explanation / Answer

at very away , PE = 0

when object is at the surface,

PE = k q1 q2 / r

q1 = 4.20 x 10^-6 C

q2= (rho)(4 pi r^3/3)

PE = (4 pi rho k r^2 q1) / (3 )

= (4 x pi x 9.20 x 10^-9 x 9 x 10^9 x 0.170^2 x 4.20 x 10^-6) / 3

= 42.1 x 10^-6 J  

Work done = change in PE

= 42.1 x 10^-6 J ..........Ans

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