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As shown in the figure, a region of space contains a uniform magnetic field. The magnitude of this field is , and it is directed straight into the plane of the page in the region shown. Outside this region the magnetic field is zero. A rectangular loop measuring by and having a resistance of is being pulled into the magnetic field by an external force, as shown.
(a) What is the direction (clockwise or counterclockwise) of the current induced in the loop?
(b) Calculate the magnitude of the external force that is required to move the loop at a constant speed of .
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