A thin square sheet of side 0.20 m lies in the y–z plane with one edge along the y-axis. A non-uniform magnetic field exists in the region such that its magnitude at any point is B=kx, directed along the positive x-axis, where x is the perpendicular distance of the point from the y–z plane and k=0.40T m−1.
Using this information, answer the following:
(i) Calculate the magnetic flux through the sheet.
(ii) How would the answer change if the sheet were rotated about the y-axis through 90° so that it lies in the x–z plane? Justify your reply without repeating the full calculation.