Two infinitely long line of charge carrying charges +λCm and -λCmare kept at a separation r. Then the electric field at a distance r from each line of charge is
22λπ∈0r
λπ∈0r
λ2π∈0r
λ/2π∈0r
E1=E2=λ2π∈0r∴ EP2=E12+E22+2E1E2cos120o
=E12+E12+2E1.E1.−12⇒EP=E1=λ2π∈0r