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A current carrying circular loop of radius $R$ is placed in the $x-y$ plane with centre at the origin. Half of the loop with $x>$ 0 is now bent so that it now lies in the $y-z$ plane.
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The magnitude of magnetic moment now diminishes
The magnitude of magnetic moment now diminishes
As the direction of magnetic moment of circular loop of radius $R$ placed in the $x-y$ plane is along $z$-direction and given by $M=I\left(\pi r^2\right)$, when half of the loop with $x>0$ is now bent so that it now lies in the $y-z$ plane, the magnitudes of magnetic field moment of each semicircular loop of radius R lie in the $\mathrm{x}$-y plane and the $y$-z plane is $\mathrm{M}^{\prime}=\mathrm{I}\left(\pi \mathrm{r}^2\right) / 4$ and the direction of magnetic field moments are along zdirectlon and $\mathrm{x}$-direction respectively.
Then resultant is:
$$
\mathrm{M}_{\text {net }}=\sqrt{\mathrm{M}^{\prime 2}+\mathrm{M}^{\prime 2}}=\sqrt{2} \mathrm{M}^{\prime}=\sqrt{2} \mathrm{I}\left(\pi \mathrm{r}^2\right) / 4
$$
So, $\mathrm{M}_{\text {net }} < \mathrm{M}$ or $\mathrm{M}$ diminishes.
Hence, the magnitude of magnetic moment is now diminishes.
Then resultant is:
$$
\mathrm{M}_{\text {net }}=\sqrt{\mathrm{M}^{\prime 2}+\mathrm{M}^{\prime 2}}=\sqrt{2} \mathrm{M}^{\prime}=\sqrt{2} \mathrm{I}\left(\pi \mathrm{r}^2\right) / 4
$$
So, $\mathrm{M}_{\text {net }} < \mathrm{M}$ or $\mathrm{M}$ diminishes.
Hence, the magnitude of magnetic moment is now diminishes.
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