# Electricity and magnetism: Electric Field for Two Long Charged Lines

## 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.

## The Attempt at a Solution

Q= lambda/distance
dq = lambda (dx)

dE = kdq/x^2

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