A very long uniformly charged thread oriented along the axis of a circle of radius R = 1m. rests on its center with one of the ends. The charge per unit length on the thread is λ= 16ε 0 . Find the flux of the vector E through the circle area in (Vm).
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Let a wire and ring are placed as shown in figure. Due to semi-infinite wire, electric field at one of its end at distance r is as shown
So, the Electric field = 
+ 
Now we take a ring element of radius r and thickness dr.
Let 
= Area vector of this ring element
∴ 
= 2 πrdr 
Now electric flux due to this element:
= 
+ 
= 
= 2πkλ. R = 
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