A solenoid with circular cross section pro duces a steadily increasing magnetic ux through its cross section. There is an octago nally shaped circuit surrounding the solenoid as shown. The increasing magnetic ux gives rise to a counterclockwise induced emf 8. Initial Case: The circuit consists of two identical light bulbs of equal resistance R con nected in series, leading to a loop equation 8 2 3' R = 0. Figure 1: \\ \\ G\\ 8\\ I 'I'i--h'u l\\ 8888 8 to ah; I 8888888 '8888888888' I '8 '8888838880' i The corresponding electrical power con sumed by bulb X and bulb Y are PX and Py, respectively. Primed' Case: Let the points 0' and D be on the symmetry line of the diagram. Connect points 0 and D by a wire, which equally divides the magnetic ux as in gure 2. \f