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in Physics by (75.0k points)

A very long uniformly charged thread oriented along the axis of a circle of radius R rests on its centre with one of the ends. The charge of the thread per unit length is equal to λ. Find the flux of the vector E across the circle area.

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From the above equation field strength at a perpendicular distance r < R from its left end

Here  is a unit vector along radial direction. 

Let us consider an elemental surface,

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