Question

Each side of cube is L then magnitude of magnetic dipole moment of loop oabcdeo carrying current i as shown in figure is.

• A. $i{L}^2$
• B. $\sqrt{2}i{L}^2$
• C. $\sqrt{3}i{L}^2$
• D. $0$

Answer 1

The correct option is B $\sqrt{2}i{L}^2$


For loop oabeo ${\overrightarrow{\mu }}_1=i{L}^2(-\hat{j})$
$cdebc{\overrightarrow{\mu }}_2=i{L}^2\left(\hat{k}\right)$
$\overrightarrow{\mu }={\overrightarrow{\mu }}_1+{\overrightarrow{\mu }}_2=\sqrt{2}i{L}^2$