a 10cm long rod carries a charge of 50 micro coulomb distributed uniformly along its length .find the magnitude of the electric field at a point 10cm from both the ends of the rod

10 cm from both ends means symmetrical and distance from center

Now since its symmetric so the component along the wire length will be cancelled so the only component that remains is perpendicular to plane.

Where l is length of wire.
Thanks & Regards
Arun Kumar
IIT Delhi
Askiitians Faculty

Dear Student,
Please find below the solution to your problem.

10 cm from both ends means symmetrical and distance from center
z = √3/2*10
Now since its symmetric so the component along the wire length will be cancelled so the only component that remains is perpendicular to plane.
Eperpendicular = 2klλ / (z(z^2 + (l/2)^2))
Where l is length of wire.

Thanks and Regards