A circular loop of wire of radius R is bent about its diameter along two mutually perpendicular planes as shown in Fig. If the loop carries a current I, then determine its magnetic moment.
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The given loop may be obtained by the superposition of two semicircular loops as shown in the figure. The magnetic moment of the semicircle in the y-z plane is along the x-axis and that in the x-z plane is along the y-axis. `M_x=(piR^2I)/2, M_y=(piR^2I)/(2)` The total magnetic moment is `vecM=M_xhati+M_y hatj` or `M=(piR^2I)/2(hati+hatj)`
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CENGAGE PHYSICS-MAGNETIC FIELD AND MAGNETIC FORCES-Multiple Correct Answer type
