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Two long concentric cylindrical shells are both centered on a long wire. The lon

ID: 1895067 • Letter: T

Question

Two long concentric cylindrical shells are both centered on a long wire. The long wire has a constant charge density l = 125 microcoulombs per meter. The smaller cylinder has a radius of 4.25 centimeters and has a constant charge density that appears from the outside as l = - 125 microcoulombs per meter. The larger cylinder has a radius of 9 centimeters and has a constant charge density that appears from the outside as l = 125 microcoulombs per meter.


Find the magnitude of the electric field at a distance of 2.55 centimeters from the central wire.


Find the magnitude of the electric field at a distance of 11 centimeters from the central wire.

Explanation / Answer

Electric field at a distance r from a wire(or cylinder) by using Gauss' law

E=/2r0, =charge/unit length

1. r=2.55 cm, =125 * 10^-6 C ( contribution from two clinders wont be there)

Substitute the value

2. r=11 cm, =sum of charge of wire and two cylinders=125 * 10^-6 C

Substitute the value.

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