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Instinctlol
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Homework Statement
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
Homework 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
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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