4. A wire lies on the z axis plane on the positive y axis and has a length L (one end is at z = 0 and the other at z=L). It has a linear charge density .. Determine the electric field in the z direction at distance z on the z axis. Use Coulomb’s law. ,7y+

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4. A wire lies on the z axis plane on the positive y axis and has a length L (one end
is at z = 0 and the other at z=L). It has a linear charge density .. Determine the
electric field in the z direction at distance z on the z axis. Use Coulomb’s law.
,7y+
<gjo dherge
7=9 here
A: TAl
Transcribed Image Text:4. A wire lies on the z axis plane on the positive y axis and has a length L (one end is at z = 0 and the other at z=L). It has a linear charge density .. Determine the electric field in the z direction at distance z on the z axis. Use Coulomb’s law. ,7y+ <gjo dherge 7=9 here A: TAl
Expert Solution
Step 1

Calculating the electric field at the given point:

dz!
+Z-axis
Let's assume a small element
width dzi
of z' from the origin.
on the elemeut, dy = dz')
Pointat
Eleet ric field at a distance 'z' foom the omigin,
at a distance
chonge
%3D
Kda
dE =
(z-2') 2
KA dz!
OR dE =
(スー2リと
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