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Electrostatics> a uniformly charged and infinitel long li...

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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 ascenter and r>y electric flux is ?

palak , 6 Years ago

Grade 12

1 Answers

Eshan

Last Activity: 6 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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