A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the rectangles are of lengths a and b, then the magnitude and direction of magnetic moment of the loop ABCDEFA is
Select the correct option:
A
abl, along $\left(\frac{\hat{\mathrm{j}}}{\sqrt{5}}+\frac{2 \hat{k}}{\sqrt{5}}\right)$
B
$\sqrt{2} \mathrm{abl}$, along $\left(\frac{\hat{\mathrm{j}}}{\sqrt{2}}+\frac{\hat{\mathrm{k}}}{\sqrt{2}}\right)$
C
abl, along $\left(\frac{\hat{\mathrm{j}}}{\sqrt{2}}+\frac{\hat{\mathrm{k}}}{\sqrt{2}}\right)$
D
$\sqrt{2}$ abl, along $\left(\frac{\hat{j}}{\sqrt{5}}+\frac{2 \hat{k}}{\sqrt{5}}\right)$
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