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Two wires CO and OA carry equal currents...

Two wires CO and OA carry equal currents I as shown in figure. One end of both the wires extends to infinity. Given `/_AOC=theta`. What is the magnitude of magnetic field induction at a point P at a distance r from O lying on the bisector of angle `theta`.

Text Solution

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`a=r sin (theta//2)`
Magnetic field induction at P due to current through CO and OA is
`B=2[(mu_0)/(4pi)I/a[sin(90-theta//2)+sin 90^@]]=(mu_0)/(2pi)(I(1+cos theta//2))/(r sin theta//2)`
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