Tow wire AO and OC carry euqal current i. as shown in figure . One end of both the wire extends to infinity . Anlge AOC is `alpha` . The magnetiude of magnetic fields at a point P on the bisector of these two wirea at a distance r from point O is ltbgt

Explanation

The direction of magnetic field due to both the wires AO and OC are out of page of paper
Due to wire OC
`B=(mu_(0)i)/(4pil){cosphi_(1)+cosphi_(2)}`
`B=(mu_(0)i)/(4pisintheta/2){cos(theta/2)+cos0}`
`rArr(mu_(0)i)/(4pirsintheta/2)(1+costheta/2)`
Due to both the wires, the net magnetic field is
`B=(2xxmu_(0)i)/(4pirsintheta/2)(1+costheta/2)rArr(mu_(0)i)/(2pirsintheta/2)(1+costheta/2)`
`B=(mu_(0))/(2pi)i/rcottheta/4`