A long straight current carrying conductor has a current from -z to +z, then find the magnetic induction at a point P(x, y, 0) in vectorial notation `(hati,hatj,hatk)` are unit vector along x,y, z axis)

Explanation

`B=(mu_(0))/(2pi)I/r`
`=(mu_(0))/(2pi)I/(sqrt(x^(2)+y^(2)))[-sinthetahati+costhetahatj]`
`=(mu_(0))/(2pi)I/(sqrt(x^(2)+y^(2)))[(-y)/(sqrt(x^(2)+y^(2)))i+x/(sqrt(x^(2)+y^(2)))j]`
`=(mu_(0))/(2pi)I/((x^(2)+y^(2)))(-yhati+xhatj)`