(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A straight nonconducting plastic wire 8.50 cm long carries a charge density of +175nC/m distributed uniformly along its length. It is lying on a horizontal table top

(a) Find the magnitude and direction of the electric field this wire produces at a point 7.00cm directly above its midpoint.

Q = +175nC/m (charge density)

L = .085m (length of charge)

D = .060m (Distance from charge)

r^2 = x^2 + H^2

2. Relevant equations

dQ = (Q / L) dx (Total charge over Total distance)

dEy = kdQ/r^2 sin θ

sin θ = D/r

dEx = 0

k = electric constant

3. The attempt at a solution

Ey = kQD/L(x^2 + H^2) ∫ 1 / (x^2 + D^2) ^(3/2) Integrand from 0 to L

= KQD/(D^2(D^2 + X^2)^(1/2))

Answer I got was 2.5 x 10^5 N/C

This is wrong because the charge is a density C/m. I tried to multiply that answer with the total distance to cancel the m but answer still came out wrong. What did I do wrong here?

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# Homework Help: Distribution of Charge along a straight line

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