A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 15.0 cm , giving it a charge of -29.0 μC .Part A Find the electric field just inside the paint layer. Express your answer 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. Part B Find the electric field just outside the paint layer. Express your answer 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. Part C Find the electric field 6.00 cm outside the surface of the paint layer. Express your answer 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.

Question
Asked Sep 5, 2019

A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 15.0 cm , giving it a charge of -29.0 μC .

Part A Find the electric field just inside the paint layer. Express your answer 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. 

Part B Find the electric field just outside the paint layer. Express your answer 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. 

Part C Find the electric field 6.00 cm outside the surface of the paint layer. Express your answer 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.

check_circleExpert Solution
Step 1

The magnitude of electric field can be written as

1
1
4πε
E
4πεο
γ
.2
-8.99 x10' Ν.m'/C2
Εο
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1 1 4πε E 4πεο γ .2 -8.99 x10' Ν.m'/C2 Εο

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Step 2

(a) The electric field just inside the paint layer.

ET 0
Charge enclosed in the plastic sphere is zero so
the Electric field inside the plastic sphere is zero
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Image Transcriptionclose

ET 0 Charge enclosed in the plastic sphere is zero so the Electric field inside the plastic sphere is zero

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Step 3

(b) The electric field just ou...

kQ
E1
10C
(8.99 x 10° N m2/C2-29.0 /iCx-
(f)
2
102m
7.5 cm x
lcm
=-4.63 x10 N/C
The electric field is directed to the centre of the sphere
help_outline

Image Transcriptionclose

kQ E1 10C (8.99 x 10° N m2/C2-29.0 /iCx- (f) 2 102m 7.5 cm x lcm =-4.63 x10 N/C The electric field is directed to the centre of the sphere

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