The magnetic induction at `O` due to a current in conductor shaped as shown in figure

Options

A. `(mu_(0)i)/(4pi)[(3pi)/(2a)+(sqrt(2))/(b)]`
B. `(mu_(0)i)/(4pi)[(3pi)/(4a)-(sqrt(2))/(b)]`
C. `(mu_(0)i)/(4pi)[(3pi)/(4a)+(1)/(sqrt(2)b)]`
D. `(mu_(0)i)/(4pi)[(1)/(a)+(1)/(b)]`

Answer

1

Explanation

`B_(1)=(mu_(0)iphi)/(4pia),B_(2)=(mu_(0)i)/(4pib)(sin0^(@)+sin45^(@))`
`:. B=B_(1)+B_(2)`