Answer
$\mu_{\mathrm{orb}, z}=3.71 \times 10^{-23} \mathrm{~J} / \mathrm{T} \text { }$
Work Step by Step
$
\text { Similarly, for }\\ m_{\ell}=-4 \text { we obtain }\\ \mu_{\mathrm{orb}, z}=3.71 \times 10^{-23} \mathrm{~J} / \mathrm{T} \text {. }$