Problem Solving: You must show all work and keep tree]: of units. J nstify any equation{s} used in your solution. You just need to solve si: {ti} out of the following seven {1'} problems. If you decide to do all seven, [will take the six with the highest point totals. ".r'] Currents induced by rapid eld changes in an MRI solenoid can, in some cases. heat tissue in the body. but under normal circumstances the heating is small. Consider a \"loop\" ofmusclc encircling the bone ofyour arm that is made up of a single strand 3.!) cm long and LII] cm in diameter. Muscle tissue is not a great conductor1 hut current will pass through it and so we can consider this a conducting loop with a rather high resistance. Suppose the magnetic eld along the axis of the loop drops from 1.6 T to Ill] T in .3 s, as it might in an MRI solenoid. Assume that the muscle tissue has resistivity of p = 13 -m, densityr of D = 1.1 x 1'03 kgi'm3, and specic heat capacity ofc = 3qu Jr'kg-K. a) How much energy is dissipated in the loop? (3 points} h} B}; howl.r much will the temperature of the tissue increase? [4 points}