At a distance of 0.200 cm from the canter of a charged conducting sphere with ra

Question

At a distance of 0.200 cm from the canter of a charged conducting sphere with radius 0.100 cm, the electric field is 460 N/C. What is the electric field 0.620 cm from the canter of the sphere? At a distance of 0.200 cm from the axis of a very long charged conducting cylinder with radius 0.100 cm, the electric field is 460 N/C. What is the electric field 0.588 cm from the axis of the cylinder? At a distance of 0.206 cm from a large uniform sheet of charge, the electric field is 460 N/C. What is the electric field 1.38 cm from the sheet?

Explanation / Answer

electric field due to sphere=Kq/r^2

for sphere elecric field is inversely proportional to square of distance

E1/E2=(r2/r1)^2

for r1=0.2 cm ,E1=460N/C

r2=0.620 cm

E2=(E1*(r1/r2)^2)=47.86 N/C

Part B

For electirc field due to large cylinder

E is inversely proportional to r

so E1/E2=r2/r1

E1=460 N/C

r1=0.2 cm

r2=0.588 cm

we have to find E2

we get E2=E1*r1/r2=156.46 N/C

part C

for sheet eletric field is independent of distance so E=460 N/C

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