Question

Suppose a uniformly charged (with a linear charge density z) wire starts at point 0 and rises vertically along the positive y axis to a length z.

A)

Determine the x-component of the electric field Ex at point (x,0). That is, calculate E? near one end of a long wire, in the plane perpendicular to the wire.

Express your answer in terms of the variables l, z, x, and appropriate constants.

B)

Determine the y-components of the electric field Ey at point (x,0). Assume x>0.

Express your answer in terms of the variables l, z, x, and appropriate constants.

C) If the wire extends from y=0 to y= infinity , so that l=infinity, show that E? makes a 45? angle to the horizontal for any x.

Answer 1

Here we apply electric field superposition principle for continuous charge distribution and using integral method we find bet electric field.