Figure shows a straight wire of length l carrying a current i. Find the magnitude of magnetic field produced by the current at point P.

Options

A. `(sqrt2 mu_(0) i)/(pi l)`
B. `(mu_(0)i)/(4pi l)`
C. `(sqrt2 mu_(0) i)/(8 pi l)`
D. `(mu_(0) i)/(2 sqrt2 pi l)`

Answer

C

Explanation

`B = (mu_(0))/(4pi) (i)/(R ) (sin theta_(1) + sin theta_(2)) , theta_(1)= 0 , theta_(2) = 45^(@)`
`=(mu_(0))/(4pi) (i)/(l) (1)/(sqrt2) = (sqrt2 mu_(0)i)/(8 pi l)`