Q.

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
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a

13j^+k^+i^

b

12i^+k^

c

13i^+j^+k^

d

12j^+k^

answer is D.

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Detailed Solution

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We can consider the non- planar loop as made by two loops ABCDA and AQRBA as shown in figure
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Magnetic field due to loop ABCDA will be along x-axis and due to loop AQRBA along z-axis, magnitude of magnetic field due to both loops will be equal 
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Therefore, direction of resultant magnetic field at P will be along 12(i^+k^)

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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