Electricity and magnetism: Electric Field for Two Long Charged Lines

[Silentwhale]

Homework Statement

Given two very long lines each is charged with linear density +lambda Coulombs/meter. The two lines are separated by a distance of d metres.
A) show the electric field E, at any point along one of the lines due to the other line is

E = lambda/(2 (pi)(epsolon o)(d))

(Note: divide line into small segments, apply coulombs law, note the direction, perform summation using trigonometric substitution)

B) write down the force per unit length between the two lines.

Homework Equations

The Attempt at a Solution

Q= lambda/distance
dq = lambda (dx)

dE = kdq/x^2

 

[Chandra Prayaga]

Please show your work so far