Hi,
I can do a quick estimate without doing any measurements.
The magnetizing inductance of a line frequency transformer so that the magnetizing current is small. Assume that the microwave is 700W
So the load current will be 700W/120V = 5.8A
Let us estimate the magnetizing current is 1/10 of the load current so 0.6A
(If you connect an Amp meter in series with the primary and measure the primary current with no load and the transformer powered from a wall outlet. If you have a measured value, you can use the measured value instead of 0.6A estimated)
Impedance = 120V / 0.6A = 200
Impedance = 2 x pi x F x L = 200
L = 200 / (60Hz x 2 x pi) = 0.53 Henries
The inductance will be quite high.
Regards,
Jay_Diddy_B