A thin long wire is made ofa material that undergoes a phase transition so that its resistivity takes one of the two values, p1 if its temperature is smaller than Tc, and p2 : 2p1 if the temperature is larger than TC. Assume the following: (a) the heat flux per unit length of the wire to the ambient medium is W = a(T T0), where a is a constant, T denotes the temperature of the wire, and T0 is the ambient temperature (To > x/K. The voltage V applied to the ends of the wire is increased very slowly, at a constant rate (i.e. linearly in time), from zero until the whole wire has undergone a phase transition, and then reduced back to zero, at the same constant rate. Sketch how the total power P dissipated in the wire depends on time 25. Your sketch should show power and voltage values at any point where either P or its time derivative is discontinuous, expressed in terms of P0 = ozL(TC To) and V0 2 L ap1(Tc T0)/A. The solution is considered to be correct only if all these points have correct values, and all segments of the graph are qualitatively correct (e.g. a convex curve should not be drawn as a straight line)