CALC In a region of space, a magnetic field points in the +x-direction (toward the right). Its magnitude varies with position according to the formula B_{x} = B_{0} + b_{x}, where B_{0} and b are positive constants, for x ≥ 0. A flat coil of area A moves with uniform speed v from right to left with the plane of its area always perpendicular to this field. (a) What is the emf induced in this coil while it is to the right of the origin? (b) As viewed from the origin, what is the direction (clockwise or counterclockwise) of the current induced in the coil? (c) If instead the coil moved from left to right, what would be the answers to parts (a) and (b)?
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