A very long wire carrying a current i is bent to form a plane at an angle α. Find the magnetic field B at a point P on the bisector of this angle situated at a distance x from the vertex A.

Let CAB be the wire making an angle α, P be a point on the bisector of this angle situated at a separation x from the vertex A and d be the perpendicular distance of AC and AB from P.



From the diagram,



The induced magnetic field B due to wire AB





=


=


The magnetic field due to current in both the wires


=


=


1