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Electric Current> An electron revolves around a positive ch...

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An electron revolves around a positive charges rod with linear charge density 2×10^4 .Find the kinetic energy of electron if it is independent of radius ?

Gunjan , 7 Years ago

Grade 12

1 Answers

Eshan

Last Activity: 6 Years ago

Electric field at a distance $r$ from the rod= $\dfrac{\lambda}{2\pi\epsilon_0 r}$
Hence attractive force acting on the electron = $\dfrac{\lambda e}{2\pi\epsilon_0 r}$

This force provides the centripetal acceleration to the electron.

$\implies \dfrac{\lambda e}{2\pi\epsilon_0 r}=\dfrac{mv^2}{r}$
$\implies \dfrac{1}{2}mv^2=\dfrac{\lambda e}{4\pi \epsilon_0}$

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