Given H = 300a_z cos(3 × 10⁸t − y) A/m in free space, find the emf developed in the general a_ϕ direction about the closed path having corners at

(a) (0, 0, 0), (1, 0, 0), (1, 1, 0), and (0, 1, 0);

(b) (0, 0, 0) (2π, 0, 0), (2π, 2π, 0), and (0, 2π, 0).