a thin rod of length I carrying charge ou uniformly The coordinate of the ends of the rad (a/2, o) and /+Lo). Find direction of charco fonce that the red exerts on a located at the coordinate t-b/2, 0) what happens when L a
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The electric field at point P, due to each element of length dx, is dE=
x
2
+d
2
k
e
dg
and is directed along the line joining the element to point P. By symmetry,
E
x
=∫dE
x
=0
and since dq=λdx,
E=E
y
=∫dE
y
=∫dEcosθ
where cosθ=
x
2
+d
2
y
Therefore, E=2k
e
λd
0
∫
ℓ/2
(x
2
+d
2
)
3/2
dx
=
d
2k
e
λsinθ
0
with sinθ
0
=
(ℓ/2)
2
+d
2
ℓ/2
(b) For a bar of infinite length, θ
0
=90
o
and E
y
=
d
2k
e
λ
Hope it helps ❤️
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