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P 15.61 2 of4 Part D Consider the transformer having three windings, as shown in the figure Figure 1) Assuming that the net mmf required to establish the core flux is zero, find an expression for 11 in terms of I2, Is, and the turns ratios. Express your answer in terms of 12 and I3 25 Submit Previous Answers Request Answer Incorrect, Try Again; 3 attempts remaining Part E Compute the value of I1 Figure 1 of 1 O 11 15290 11 = 520 11 = 1520 11-30290 O 11 3020 11 = 5290 1/2 Submit Request Answer

Answer 1

Assuming that all of the flux turns, determine the voltage v_2 and v_3. And also net mmf required to establish the core flux (a) we all know that in a transformer, where a voltage with positive polarity at the dotted terminal appears across coil 1 The voltage across coil 2 is also positive at the dotted terminal. Therefore the given transformer with dots on the winding will be \r\n (b) from the circuit v_1 = 100 < 0 degree v we know v_1/N-1 = v_2/N_2 v_2 = N_2/N_1 times v_1 v_2 = 1/2 times 100 Therefore v_2 = 50 v Also we have v_1/N_1 = V_3/N_3 v_3 = N_3/N_1 v_1 v_3 = N_3/N_1 v_1 v_3 = 1 times 100 Therefore v_3 = 100v \r\n (c) The net mmf is zero therefore for the given circuit N_1_1 - N_2 F_2 - N_3 I_3 = 0 N_1 I_1 = N_2 I_2 + N_3 I_3 Therefore I_1 = N_2 I_2 + N_3 I_3/N_1