The DC resistance of the primary windings of a certain transformer is found to be 22ohm while the resistance of the secondary windings is 0.8ohm. When a 60 Hz sinusoidal source is connected to the primary "with the secondary open circuited" and the primary voltage is adjusted to be 15V peak-to-peak, the primary current entering at the dot is found to be 35mA p-to-p, lagging the voltage by 87deg. The open circuit voltage on the secondary is measured with high-impedance scope probe to be 1.5 volts p-to-p. Then, by driving the secondary with the primary open circuited and the secondary voltage adjusted to be 2V p-to-p, the secondary current entering at the dot is found to be 20mA p-to-p, lagging the voltage by nearly 90 deg.
From these measurements determine an estimate for the self-inductances(L1 and L2), the mutual Inductance(M), and the coupling coefficien (k) of the transformer.