Three infinitely long conductors R, S and T are lying in a horizontal plane as shown in the figure. The currents in the respective conductors are
`I_(R)=I_(0)sin(omegat+(2pi)/(3))`
`I_(S)=I_(0)sin(omegat)`
`I_(T)=I_(0)sin(omegat-(2pi)/(3))`

Find the amplitude of the vertical component of the magnetic field at a point P, distance ‘a’ away from the central conductor S.

Explanation

`(mu_(0)1_(0))/(2pi)(sqrt(3)b)/((a^(2)+b^(2)))`