# Electrostatics: Field due to linear charge distribution.

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.

© BrainMass Inc. brainmass.com October 9, 2019, 9:55 pm ad1c9bdddfhttps://brainmass.com/physics/charge/electrostatics-field-linear-charge-distribution-201979

#### Solution Summary

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