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Grade 12Electrostatics

a uniformly charged and infinitel long line having a linear charge density x is placed at distance y from pt o consider an imaginary sphere of radius r with o as center and r>y electric flux is ?

palak

8 Years agoGrade 12

1 Answer

Eshan

8 Years ago

let the length of the rod inside the sphere be $l$ .

From geometry, $y^2+(\dfrac{l}{2})^2=r^2$
Hence $l=2\sqrt{r^2-y2}$
Therefore the enclosed charge inside the sphere= $xl=2x\sqrt{r^2-y2}$
Hence the flux passing through the sphere= $=\dfrac{2x\sqrt{r^2-y2}}{\epsilon_0}$

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