Electric field at a distance r from the axis of a infinitely long charged cylindrical conductor is

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Electricity and Magnetism

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Applying Gauss’s law

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28 Dec 2020

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A long cylindrical conducting shell has inner radius R1=10 cmand an outer radius R2=12 cm. the conductor has no net charge. Atthe center of the cylinder, there is a negative line of charge withlinear charge density Î»=5Î¼c/m.

A) Find the magnitude and direction ofthe electric field outside the shell at a distance r from thecenter, (r>R2)

B) Find the magnitude anddirection electric field in the region between the inner and theouter radius of the conductor at distance r from the center (R2>r >R1)

C) Find the surface charge densityon the outer surface of the conductor.

A non-charged infinitely wide plate conductor is parallel to andhas a distance from an infinitely wide plane of charge with surfacecharge density ?. Find the electric field in regions 1 to 4 (seefigure below). (note, no need to use the Gaussâ Law).

Also,

Just write down the major equations in Problem 4 if the infinitelywide plate conductor carries a net charge of +Q (you can assumethat the surface has an area A, even though it is very large. Noneed to do calculations).

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Electric field at a distance r from the axis of a infinitely long charged cylindrical conductor is

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