Two infinitely long straight parallel wires carry equal currents ‘i’ in the same direction and are 2 m apart. Magnetic induction at a point which is at same normal distance 2 m from each wire has magnitude

In three dimensional space, the point lies perpendicular to the plane containing wires. Let θ be the half-angle made by position vector of particle with vertical. Thensinθ=12⇒θ=45° If field due to each wire is BBnet =2Bcosθ Bnet =2μ0i2π212=μ0i2π