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A loop carrying current I lies in the \( x-y \) plane as shown in the figure. The unit vector \( \mathrm{k} \) is coming out of the plan of the paper. The magnetic moment of the current loop is
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(1) math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymsupmia/mimn2/mn/msupmovermrowmiI/mimik/mi/mrowmo^/mo/mover/math
(2) \( \left(\frac{\pi}{2}+1\right) a^{2} I \hat{k} \)
(3) \( -\left(\frac{\pi}{2}+1\right) a^{2} \hat{k} \)
(4) \( (2 \pi+1) a^{2} \hat{k} \)
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