A rectangular coil of dimensions a and b is arranged in the (x,y) plane as in the figure and is crossed by a current I counterclockwise for the viewer. Knowing that in all space is there is a non-uniform magnetic field given by B(x,y,z)= aB0/x (versor k), B0 is a known constant, determine: a) the magnetic force acting on each side of the coil; b) the total magnetic force; c) the calculated moment of magnetic force considering the center of the coil as the pole.

2b b 2a X a