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Problem 1: The secondary winding of a transformer has a terminal voltage of v, (t) 282.8 sin 377t V. The turns ratio of the transformer is 100:200 (a0.50) The impedances of this transformer referred to the primary side are The equivalent circuit is shown below lf (a) If the secondary current of the transformer is i,()-7.07sin(3771-36.87) A, what is the primary current of this transformer? (20 points) HINTS: I. Peak values of the secondary voltage and current are specified in the problem. In phasor notation, we use RMS voltages and currents. Use Conversion factor ofV2 2. Use KVL on the circuit to calculate primary voltage, 3. Use KCL to find primary current, Icurrent through Rc tcurrent through jXM 4. Note that the transformer is not ideal. Use the following to calculate PİN-VPI P Cos θ and PoUT-Ys1scos@ powers (b) What are the input power to and output power from the transformer? (10 points)
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