In the magnetic system shown below, g=g=g=1 cm, N=100 turns, N = 200 turns, the depth of the core into the page is 1 cm, and the permeability of the core in infinite. a. Determine the mutual inductance between the two coils. b. Determine the self-inductance of BOTH coils. c. Now suppose that i = 12 cos 2760t A and d. Now suppose that i = 12 cos 2760t A and across both coils, e(t) and e(t). -9cm- +9 + 6 cm A 6 cm -50cm- 3 = 85 cos 2760t uWb. Determine e2(t). i=5 cos 27601 A. Determine the voltage -30cm- -8 03 A 6 cm 18 -50cm- -9cm- 9, A 93 N 6 cm 6 cm -30 cm