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`.

Options

A. `10^(-3)T`
B. `4xx10^(-3) T`
C. `2xx10^(-6)T`
D. `10^(-4)T`

Answer

D

Explanation

Total magnetic field induction at O is
`B=B_(LR)+B_(RP)+B_(NS)+B_(SQ)`
`=0+(mu_(0))/(4pi)(i)//(r )+0+(mu_(0))/(4pi)(i)/(r )`
`=(mu_(0))/(2pi)(i)/(0.02)`
`=(2xx10^(-7)xx10)/(0.02)=10^(-4)T`