question_answer

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

A)  \[\frac{{{\mu }_{0}}}{2\pi }\,\,\,\frac{l}{r}\,\,\cot \,\,\left( \frac{\alpha }{2} \right)\]

B)         \[\frac{{{\mu }_{0}}}{4\pi }\,\,\,\frac{l}{r}\,\,\cot \,\,\left( \frac{\alpha }{2} \right)\]

C)  \[\frac{{{\mu }_{0}}}{2\pi }\,\,\,\frac{l}{r}\,\,\cot \,\,\frac{\left( 1+\cos \frac{\alpha }{2} \right)}{\sin \left( \frac{a}{2} \right)}\]

D)  \[\frac{{{\mu }_{0}}}{4\pi }\,\,\,\frac{l}{r}\,\,\sin \,\,\left( \frac{\alpha }{2} \right)\]