1. Consider the two inductances depicted in Figure 1. Set L1 = 10 mH, L2 =...

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1. Consider the two inductances depicted in Figure 1. Set L1 = 10 mH, L2 = 5 mH and M = 1 mH. %3D (a) Determine the steady-state expression for vi if i = 0 and iz = 5 cos 8t A. [4] [4] [4] (b) Determine the steady-state expression for vz if i = 3 sin 100t A and iz = 0. (c) Determine the steady-state expression for vz if i = 5cos(8t – 40°) A and iz = 4sin 8t A. (d) Compute the coupling coefficient k. [4) (e) Calculate the energy stored in the magnetic field linking the two coils at t= 100 ms if the two currents [4] are as given in part (c). L2 Figure 1: Circuit for Problem 1 1. Consider the two inductances depicted in Figure 1. Set L1 = 10 mH, L2 = 5 mH and M = 1 mH. %3D (a) Determine the steady-state expression for vi if i = 0 and iz = 5 cos 8t A. [4] [4] [4] (b) Determine the steady-state expression for vz if i = 3 sin 100t A and iz = 0. (c) Determine the steady-state expression for vz if i = 5cos(8t – 40°) A and iz = 4sin 8t A. (d) Compute the coupling coefficient k. [4) (e) Calculate the energy stored in the magnetic field linking the two coils at t= 100 ms if the two currents [4] are as given in part (c). L2 Figure 1: Circuit for Problem 1