(a) Given figure 7.19 below, consider that the loop is along the x-axis and rotates in a clockwise direction with angular speed w. What is the magnetic flux penetrating at any point in time in time? Explain each step in great detail. (b) Calculate the electromotive force induced in the loop. Explain each step in great detail. (c) Sketch the variation of the flux penetrating the loop and the e.m.f with time for a loop with a = 2 cm, B = 2 T and angular velocity 120n radians/s. Assume the plane of the loop is perpendicular to the magnetie field at time t = 0. Explain each step in great detail. (d) Consider a scenario where the loop is held fixed with its plane perpendicular to the direction of the magnetic field, calculate B(t) which will induce the same electromotive force in the loop as in (c). Explain each step in great detail. (e) State one application of a rotating loop in a magnetic field. FIGURE 7.19 Figure 7.19 displays the both lengths of this square loop 'a' which is placed in a magnetic field B.