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 bx=b0+bx, where b0 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.

part a

what is the emf induced in this coil while it is to the right of the origin?
express your answer in terms of the given quantities.

part b

as viewed from the origin, what is the direction (clockwise or counterclockwise) of the current induced in the coil?

part c

if instead the coil moved from left to right, what would be the answer to part a ?

part d

if instead the coil moved from left to right, what would be the answer to part b ?