A non-planar loop of conducting wire carrying a current 1 is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a,0, ) points in the direction

Options

A. `(1)/(sqrt(2))(- hat j + hat k)`
B. `1/(sqrt(3))( hat i - hat j + hat k)`
C. `(1)/(sqrt(3))( hat i + hat j + hat k)`
D. `(1)/(sqrt(2))(hat i + hat k)`

Answer

D

Explanation

Refer to figure , the direction of magnetic field at point (a,0,a) for the the current due to portion ABCD id ponting along + z- axis i.e, represented by `har k`. The direction of magnetic of field at the given point due to current in portion DEFA is pointing along + x-axis i.e, represented by i Magnetitude of magnetic field due to both the portion will be equal will be `(1)/(sqrt(2))( hat i + hat k)`