An insulating sphere of radius 0.140m has uniform charge density 8.00*10^(-9)C/m

Question

An insulating sphere of radius 0.140m has uniform charge density 8.00*10^(-9)C/m^3 . 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 4.50*10^(-6)C

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 unit.

A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 15.0cm , giving it a charge of -13.0?C

Find the electric field 6.50cm outside the surface of the paint layer. Express your answer to three significant figures

Explanation / Answer

An insulating sphere of radius 0.140m has uniform charge density 8.00*10^(-9)C/m^3 . 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 4.50*10^(-6)C

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 unit.

q = rho (4/3 pi R^3) = 8e-9 * (4/3 * 3.1416 * 0.14y3) = 9.1953e-11 C

W = k q/R = 8.99e9*9.1953e-11/(0.14) = 5.90 J

A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 15.0cm , giving it a charge of -13.0?C

Find the electric field 6.50cm outside the surface of the paint layer. Express your answer to three significant figures

E = k q/r = 8.99e9*13e-6/((0.15/2)+0.065) = 8.35 x 10^5 N/C

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