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math132003

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- Homework Statement
- Consider that in an rectangular coordinate system an infinite charge line is placed exactly on the "x" axis. This line has a uniform charge distribution with linear charge density pL = 10 nC/m

(a) Determine the electric field intensity vector at point P = (4, 6, 8)

(b) What is the point charge value that should be placed at the point (0, -6, 8) so that the component of the Ey field at the same point P is null.

- Relevant Equations
- Electric field due to infinite line of charge, E = (pL/(2pi*r*p))*âp

what I've done so far?

-i've determined the vector between the point (4, 0, 0) and the point P.

(4, 6, 8) - (4, 0, 0)

(0, 6, 8)

-The norm of this vector is the radial distance of the line to point P (the value of “ρ” in the formula)

√(0^2 + 6^2 + 8^2) = 10 -> ρ = 10

-and its unit vector is the direction of the electric field (it is the unit vector âρ in the formula)

(1/10)*(0,6,8) -> (0, 3/5, 4/5)how can i continue?

Thanks in advance!

-i've determined the vector between the point (4, 0, 0) and the point P.

(4, 6, 8) - (4, 0, 0)

(0, 6, 8)

-The norm of this vector is the radial distance of the line to point P (the value of “ρ” in the formula)

√(0^2 + 6^2 + 8^2) = 10 -> ρ = 10

-and its unit vector is the direction of the electric field (it is the unit vector âρ in the formula)

(1/10)*(0,6,8) -> (0, 3/5, 4/5)how can i continue?

Thanks in advance!

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