A thin circular ring of radius “a” has a uniformly distributed charge Q. Determine the electric potential at a point P on the axis of the ring at a distance x from its center.

Respuesta :

Answer:

[tex]E=\dfrac{KQx}{(x^2+a^2)^{\frac{3}{2}}}[/tex]

Step-by-step explanation:

Given that

Radius of ring=a

Distance of point P from center=x

Total charge=Q

We know that electric field is given by

[tex]E=\dfrac{KQcos\theta }{r^3}[/tex]

Here electric field in two direction will be cancel out and only in one direction electric field will exits.

 [tex]cos\theta =\dfrac{x}{r}[/tex]

[tex]r^2=x^2+a^2[/tex]

[tex]E=\dfrac{KQx}{(x^2+a^2)^{\frac{3}{2}}}[/tex]

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