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A charged paint is spread in a very thin uniform layette over the surface of a p

ID: 1532667 • Letter: A

Question

A charged paint is spread in a very thin uniform layette over the surface of a plastic sphere of diameter 14 0 cm. giving it a charge of .49 0 mu C Express your answer with the appropriate units. Enter positive value If the field is direct radially inward and negative value if the field is directed radially outward. Find the electric field just outside the paint layer Express your answer with the appropriate units. Enter positive value if the field it director radially inward and negative value if the field is directed laically outward. Find the electric field 7 00 cm outside the surface of the paint layer Express your answer with the appropriate units. Enter positive value if the field is directed

Explanation / Answer

A) Exactly -- flux = E*A = Q / o
But the "enclosed charge" Q "just under the paint layer" is 0, so
the field E = 0 N/C (everywhere inside the paint layer).

B) Q= -49.0 C
EA=Q/Eo
E x 4pi(0.07^2)=(49.0x10^-6)/(8.854x10^-12)
E= 8.987x10^7 N/C

so, the electric field just outside the paint layer is 8.987x10^7 N/C

C) 4pi(0.07+0.07)^2
4pi(0.14)^2

so, E x 4pi(0.14^2)=(49.0x10^-6) / (8.854x10^-12)
E= 2.2469 x10^5 N/C

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