A real step down transformer with a turns ratio a = N_1/N_2 has the following pa

Question

A real step down transformer with a turns ratio a = N_1/N_2 has the following parameters: R_c rightarrow infinity, X_m rightarrow infinity, the total leakage L = 0.1 H., and the total copper loss R = 35 Ohm, which are all referred to the primary-side. Suppose that an input voltage V_L = 100 v. in rms value at 60 Hz is applied to the primary-side, and a capacitance C_L = 0.1 F. (the actual value) is loaded to the secondary-side. (a) Draw an equivalent circuit that is referred to the primary-side; (b) If a = 10, find the input real power P and the reactive power Q; (c) What is the output power factor? (d) If we wish the input port could have a unity power factor, i.e., p.f. = 1, determine the new turns ratio a.

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