Chapter 3, Problem 3.1P

(a) An ideal single-phase two-winding transformer with turns ratio $a_t=N_1/N_2$ is connected with a series impedance $Z_2$ across winding 2. If one wants to replace $Z_2$, with a series impedance $Z_1$ across winding 1 and keep the terminal behavior of the two circuits to be identical, find $Z_1$ in terms of $Z_2$.

(b) Would the above result be true if instead of a series impedance there is a shunt impedance?

(c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance $\text{by}{a}_t^2$

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