A long straight wire, carrying current I, is bent at its midpoint to form an angle of `45^@`. Find the induction of magnetic field at point P, distant R from the point of bending (as shown in)

Options

A. `((sqrt(2)-1)mu_(0)i)/(4piR)`
B. `((sqrt(2)+1)mu_(0)i)/(4piR)`
C. `(mu_(0)i)/(4sqrt(3)piR)`
D. `(mu_(0)i)/(8R)`

Answer

C

Explanation

`B=(mu_(@)l)/(4pisqrt(3)R//2)[sin90^(@)+sin(-30^(@))]`
`=(mu_(@)l)/(4sqrt(3)R)`