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Electrostatics: Field due to linear charge distribution.

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Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located on the positive x-axis at x = a + r, a distance r to the right of the end of Q (see the attachment).

(a) Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x > a.

(b) Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x > a.

(c) Calculate the direction of the force that the charge distribution Q exerts on q.

(d) Show that if r >> a the magnitude of the force in part (c) is approximately Qq/[4*pi*epsilon_0*(r^2)]. Explain why this result is obtained.

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The electric field due to a line charge distribution is calculated and analyzed.

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