A pair of stationary and infinitely long bent wires is placed in he xy plane as shown in figure. Each wire carries current of 10 A. Segments L and M are along the x-axis. Segments P and Q are parallel to the y-axis such that  OS=OR=0.02 m. Find the magnitude and direction of the magnetic induction at origin ‘O’

As point ‘O’ is along the length of segments ‘L’ and M, so the field at ‘O’ due to these segments will be zero. Also point ‘O’ is near one end of along wire.The resultant field at ‘O’.  BR=BP+BQ. This field due to both P and Q will be into the plane of paper, hence will add up. ⇒ BR=μ04πIRO+μ04πISOBut  RO=SO=0.02MHence, BR=2×μ04π×100.02=2×10−7×100.02=10−4 T .