A pair of stationary and infinitely long bent wires is placed in the `X-Y` plane as shown in figure.The wires carry currents of `10A` each as shown.The segments `L` and `M` are along the `x`-axis.The segments `P` and `Q` are pallel to the `Y`-axis such that `OS=OR=0.02 m`.Find the magnitude and direction of the magnetic induction at the origin `O`.

Explanation

Since point O is along the length of segments L and M the field at O due to these two segments will-be zero
`therefore` Magnetic field at O is due to QS and RP.
`thereforeB_(SQ)=(mu_(0))/(4pi)xxI/(OS)=10^(-7)xx10/(0.02)odot`
`B_(RP)=(mu_(0))/(4pi)xxI/(OR)=10^(-7)xx10/(0.02)odot`
`thereforeB_(0)=B_(SQ)+B_(RP)=10^(-7)xx10/(0.02)xx2odot=10^(-4)Todot`