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 segment 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.
` therefore B_(SQ) = (mu_0 I)/(4pi) xx (I)/(OS) = 10^(-7) xx (10)/(0.02) o.`
`B_(RP) = (mu_0)/(4pi) xx (I)/(OR) = 10^(-7) xx (10)/(0.02)o. `
` therefore B_o = B_(SQ) + B_(RP) = 10^(-7) xx (10)/(0.02) xx 2 =10^(-4) T o.`