When maths and Physics collide

Electricity and Magnetism Level pending

An infinitely long thin wire having a charge per unit length λ \lambda is bent in the shape of a parabola of equation y 2 = 4 a x { y }^{ 2 } =4ax . Find the magnitude of the electric field experienced at the focus of the parabola.

Note :Focus of this parabola is at (a,0).


The answer is 0.

Abhishek Chakraborty by Abhishek Chakraborty , 22, India

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1 solution

Mir Abid
Jun 5, 2015

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.

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Good job ;-)

Abhishek Chakraborty - 5 years, 1 month ago

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