A straight steel wire of length $‘\ell ’$ has a magnetic moment $‘M’$. It is bent in $L-$ shape. The new magnetic moment is
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$\mathrm{M}=\mathrm{m} \ell_{\mathrm{eq}}$
$\mathrm{M}=\mathrm{m} \ell$
$\mathrm{M}^{\prime}=\mathrm{M} \ell^{\prime}$
$\ell=\sqrt{\left(\frac{\ell}{3}\right)^{2}+\left(\frac{2 \ell}{3}\right)^{2}}=\frac{\sqrt{5} \ell}{3}$
$M^{\prime}=\frac{M \sqrt{5} \ell}{3}=\frac{\sqrt{5} M}{3}$
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