A charged paint is spread in a very thin uniform layer over the surface of a pla

Question

A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 18.0 cm , giving it a charge of -59.0 C. a) Find the electric field just inside the paint layer. b) Find the electric field just outside the paint layer. c) Find the electric field 8.00 cm outside the surface of the paint layer. Express your answers with the appropriate units. Enter positive value if the field is directed away from the center of the sphere and negative value if the field is directed toward the center of the sphere.

Explanation / Answer

A.

Electric field inside a sphere is zero,

E = 0

B.

electric field just outside the paint layer is given by:

E = kQ/R^2

R = d/2 = 9 cm

using given values:

E = 9*10^9*59*10^-6/(9*10^-2)^2

E = -6.55*10^7 N/C

C.

electric field 8.00 cm outside the paint layer is given by:

E = kQ/r^2

where r = distance from center

using given values:

E = 9*10^9*59*10^-6/(17*10^-2)^2

E = -1.837*10^7 N/C

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