Question

find the electric field at a distance z above the midpoint of a straight line of length 2l with a uniform charged density d

Answer 1

well.. can u start?! i would help..

Answer 2

ya tell me the answer

Answer 3

Near it, you can use a cylindrical Gaussian surface and ignore ends.

Answer 4

you need to solve:
\[E=\int_{-L}^Lkz\rho dx/(x^2+z^2)^{3/2}\]

Answer 5

check eq (41): http://integral-table.com/

Answer 6

I am dividing the rod in to small charges
\[dq=\rho dx\]
\[dE=kdq/r^2\]
you x components cancel each other, and to get y component you need to multiply by cos or sin depending where you chose angle

Answer 7

\[r=\sqrt{x^2+z^2}\]
\[\cos{\theta}=z/\sqrt{x^2+z^2}\]