• # Electric field due to a linear charge

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How to find electric field due to a finite linear charge at its axial line ?
If we have a charge uniformly distributed over a linear object, we can determine its electric field at any point but how we can find the same at a point, which lies on the axial line near to one of its end .
The field is due to finite linear charge distribution and not due to an infinite one .

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E
z

=

k
λ

z

[

b

b
2

+

z
2

+

a

a
2

+

z
2

]

E_z = \frac{k\lambda}{z}\left[\frac{b}{\sqrt{b^2+z^2}} + \frac{a}{\sqrt{a^2+z^2}}\right]

Saket Kumar
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