In the region of space for which x > 0, the x-component of a steady magnetic field is described by Bx = bx^2 where b is a positive constant that has dimensions of T/m^2.
(a) Which of Maxwell's equations implies this cannot be the only component of the magnetic field and why?
(b) What is the magnetic flux through the curved side of a circular cylinder of radius R whose axis is coincident with the x-axis, and whose left side is at x_L > 0 and right side is at x_R > x_L?