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Electric Charges And Fields

Question

A thin straight infinitely long conducting wire having charge density $straight lambda$ is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.

Solution

Given, charge density = $straight lambda$

Radius and length of the cylindrical surface are r and l respectively.

Charge enclosed by the cylindrical surface = $straight lambda$ l

Now, using Gauss theorem,
Electric flux, $straight ϕ$
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