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a) Derive the transfer function H(s) = Vo(s) where S = jw Vi(s) Both numerator and denominator should be polynomials in terms of S b) Find all zeros and poles of H(s) 13F 50 + + 30 7H Vi Vo - a) Redraw the circuit to model the effects of mutual inductance b) Derive three mesh equations for 1, and '3 Equations should be in proper format (al, + bl_ + cl_ =d, where a, b, C, and d are simplified constants) 2 3 You do not need to solve these equations 80/72°V + 12 j170 80 000 j50 11 13 190 j(-13)Q j190 Find V1, V2, l1, and l2. Please express all answers in polar form. 7:9 13/94° A 10/46° A + + + 4+10j o 11 V1 V2 12 20+25j o + + . - -

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