The magnetic moment of a planar current loop is , where is the enclosed area and the direction is given by the right-hand rule along the loop's current sense. For composite shapes, the total area is the sum (or difference) of the areas of the individual geometric pieces making up the loop.
A current-carrying loop lies in the -plane, shaped as shown in a standard textbook figure: it consists of a square loop of side with two semicircular lobes of radius attached on opposite sides, with current flowing around the loop in a sense such that the unit vector (out of the page) gives the direction of the magnetic moment. What is the magnetic moment of this current loop?
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