A total 3.09e6 electrons are placed on an initially uncharged wire of length 1.36 m

What is the magnitude of the electric filed a perpendicular distance of 0.417m away from the midpoint wire?

I used E=k|Q|/(x(x^2+L^2/4)^1/2)
and I got 9.37e16 N/C which is too large.

Can someone tell me what I'm doing wrong?

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  1. Your number looks much too high.

    Did you get the term in the denominator by integrating the field component normal to the wire due to each element of length? It looks OK but I have not verified it.

    Did you take into account that the charge of each electron is 1.6*10^-19 C?

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