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Two wires AO and OC carry equal currents i as shown in figure. One end of both the wire extends to infinity. Angle AOC is α. The magnitude of magnetic field at a point P on the bisector of these two wires at a distance r from point O is

a
μ02π  ircot α4
b
μ04π  ir  cot α2
c
μ02π  ir  1+cot α2sin α2
d
μ04π  ir  α2

detailed solution

Correct option is A

x=r  sin  α2∴   BP=2 μ04π  ix  sin  900 − α2 +  sin 900=  μ02π  ir  1+cos α2sin α2=μ0i2πrcotα4

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