3 Two coupled coils have the following parameters L11 L1+Lm1 =100 mH, r = 10 Ohm, = L22 L12+Lm2 = 25 mH, 12 = 2.5 Ohm. N = 500 turns, Ln = 0.1 L22. = N 1000 turns, Ln1 = 0.1 L11. (a) Develop a T equivalent circuit with coil 1 as the reference coil. (b) Repeat with coil 2 as the reference coil. Determine the input impedance of the coupled circuits if the applied frequency to coil 1 is 60 Hz with coil 2 (c) open-circuited; (d) short-circuited. Repeat (d) with the current flowing in the magnetizing reactance neglected. A constant 10 V is suddenly applied to coil 1 of the coupled circuits given in Problem 3. Coil 2 is short-circuited. Calculate the steady-state current flowing in each coil.