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23 Nov 2019

a) The electric field at a distance of 2 mm from the center of acharged conducting sphere of

radius 1 mm is 480 N/C. What is the electric field at a distance of6 mm from the center of the sphere?

Find the electric flux through the spherical Gaussian surfaces ofradius 2 mm and 6 mm

whose centers coincide with that of the charged sphere.

(b) At a distance of 2 mm from the axis of a very long conductingcylinder with radius 1 mm,

the electric field is 480 N/C. What is the electric field 6 mm fromthe axis of the

cylinder?

(c) What is the electric field 0.5 mm from the axis of thecylinder?

(d) Assume that the cylinder is now shrunk along its radius so thatit becomes a straight line

that coincides with its axis, and carries the same total charge.What will be the electric

field 0.5 mm from this charged line? Is it different from theresult in the last step? Justify

your answer.

(e) At a distance of 2 mm from a very large uniform sheet ofcharge, the electric field is 480N/C. What is the electric field1.2 cm from the sheet? What is the charge density on the sheet?What is the force on a proton when it is 1.2 cm from the sheet? Aproton carries a charge of -e.

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Jean Keeling
Jean KeelingLv2
20 Jul 2019

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