Find the magnetic induction the origin in the shown
.

Answer

`(mu_(0)I)/(4R) ((3)/(4) hatk + (1)/(pi) hatj)`

Explanation

`B_(1) = 0, B_(2) = 0, B_(3) = (mu_(0))/(4pi) (I)/(R) xx (pi)/(2) hatk`
`B_(4) =0, B_(5) = (mu_(0))/(4pi) (I)/ (R ) hatj`
`oversetrarrB = oversetrarrB_(1) +oversetrarrB_(2) +oversetrarrB_(3) +oversetrarrB_(4) +oversetrarrB_(5) +oversetrarrB_(6) +oversetrarrB_(7)`
`oversetrarrB = (mu_(0))/(4R)[(1)/(2) + (1)/(2)]hatk+ (mu_(0))/(4pi) (I)/(R) hatj=(mu_(0)I)/(4R) [(3)/(4) hatk + (1)/(pi)hatj]`
.