Two thin parallel threads carry a uniform charge with linear densities λ and −λ. The distance between the threads is equal to l. Find the potential of the electric field and the magnitude of its strength vector at the distance r>>l at the angle θ to the vector 1. (Fig).
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Let P be a point, at distance r>>l and at an angle to θ the vector l (Fig.).
Thus E at P=2πϵ0λ∣∣∣∣∣∣r+2l∣∣∣∣∣∣2r+2l−2πϵ0λ∣∣∣∣∣∣r−2l∣∣∣∣∣∣2r−2l