4) A square loop of wire with current I and area A is placed in a uniform magnetic field Bo. Three different configurations of the direction of the magnetic field, with respect to the loop, are presented. Bo 1 a) The magnetic field is first aligned with the loop, as shown (configuration 1). Using the coordinate system given, write expressions for the magnetic field (dotted lines) and magnetic moment of the loop in vector notation. Z X b) The magnetic field is now directed to be into the page (configuration 2). Bo 2 X X X X Has the magnitude of the torque on the loop increased, decreased, or stayed the same? Explain. X X X Y X X X X Has the potential energy increased, decreased, or stayed X X X X the same? Explain. X X IX X c) The magnetic field is now directed to be out of the page (configuration 3). Rank the magnitudes of the torques on the loop in Bo. 3 configurations 1, 2, and 3 from largest to smallest. . Rank the potential energy in configurations 1, 2, and 3 from most positive to most negative. d) Calculate the torque and potential energy for each configuration, if you have not done so already. e) In what direction would the magnetic field need to be pointing so as to minimize the potential energy? (Is the minimum potential energy zero?) Does this correspond to any of the given configurations