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A thin straight infinitely long conducting wire having charge density lambdais enclosed by a cylinder 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.

Answer»

Solution :As shown in a thin straight INFINITELY long conducting wire having linear charge density `lambda ` is enclosed by a cylinder SURFACE of radius r and length l with its axis COINCIDING with the length of the wire.
Asper Gauss.s law TOTAL ELECTRIC flux through the entire surface of the cylinder
` phi_in =(1)/(in_0) ` (charge enclosed within the cylinder)
` = (1)/(in_0)(lambda l)=(lambda l)/(in_0) `
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