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A)At a distance of 0.218 cm from the center of a charged conducting sphere with

ID: 1422730 • Letter: A

Question

A)At a distance of 0.218 cm from the center of a charged conducting sphere with radius 0.100cm, the electric field is 430 N/C . What is the electric field 0.610 cm from the center of the sphere? B)At a distance of 0.208 cm from the axis of a very long charged conducting cylinder with radius 0.100cm, the electric field is 430 N/C . What is the electric field 0.588 cm from the axis of the cylinder? C)At a distance of 0.220 cm from a large uniform sheet of charge, the electric field is 430 N/C . What is the electric field 1.18 cm from the sheet?

Explanation / Answer

a) electric field at a distance due to a sphere is inversely proportional to the square of the distance

so

E1/E2 =(r2/r1)2

E2 = E1(r1/r2)2

E1 = 430 N/C

r1 = 0.218 cm

r2 = 0.610 cm

plugging iin we get

E2 = 54.9 N/C

B) electric feld due to a cylender is inversely proportional to the distance

E1/E2 = r2/r1

E2 = E1(r1/r2)

E1 =430 N/C

r1= 0.208 cm

r2 = 0.588 cm

plugging iin we get

E2 =152.1 N/C

C) electrc field due to a sheet is independent of dstance

so the field at 1.18 cm would also be 430N/C

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