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A non-planar loop of conducting wire carrying a current $I$ 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 $P$ $(a,0,a)$ points in the direction
  • A$\frac{1}{{\sqrt 2 }}( - \mathop {\hat j + \hat k}\limits^{} )$
  • B$\frac{1}{{\sqrt 3 }}( - \hat j + \hat k + \hat i)$
  • C$\frac{1}{{\sqrt 3 }}(\hat i + \hat j + \hat k)$
  • D$\frac{1}{{\sqrt 2 }}(\hat i + \hat k)$
IIT 2001, Diffcult
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