An infinitely long thin wire having a charge per unit length is bent in the shape of a parabola of equation . Find the magnitude of the electric field experienced at the focus of the parabola.
Note :Focus of this parabola is at (a,0).
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Y^ = 4ax (right hand parabola)
Let the latus rectum be denoted by LL'
Now approaching latus rectum from right side we see that net E is towards -X axis. Now on the remaining curve the net E is towards +X direction.
So the net E comes out to be zero.