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We drive the primary with a current, with a sinusoidal
waveform. Let the secondary be open-circuited at this
stage of the game.
There will be some voltage across the primary, which
we can calculate based on the primary current and the
self-inductance. So far so good.
Now .... short-circuit the secondary. This means that
the secondary voltage is now smaller than it was in
the open-circuit case. This in turn tells us that
there is less flux_dot threading the secondary. This
means that the induced current in the secondary is
oriented /opposite/ to whatever flux the primary is
trying to push through the secondary.