Two circular concentric loops of radii $r_1 = 20\,cm$ and $r_2 = 30\,cm$ are placed in the $X, Y-$ plane as shown in the figure. A current $I = 7\,amp$ is flowing through them. The magnetic moment of this loop system is
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$\overrightarrow M = {\text{I}}\pi r_2^2\widehat {\text{k}} - {\text{I}}\pi {\text{r}}_1^2\widehat {\text{k}}$
$ = \pi {\text{I}}\left( {{{\text{r}}_2} + {{\text{r}}_1}} \right)\left( {{{\text{r}}_2} - {{\text{r}}_1}} \right)\widehat {\text{k}}$
$ = \frac{{22}}{7} \times 7 \times (0.3 + 0.2)(0.3 - 0.1)\widehat {\text{k}}$
$ = 22 \times 0.5 \times 0.1\widehat {\text{k}}$
$ = 1.1\widehat {\text{k}}\,{\text{A}} - {{\text{m}}^2}$
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