The Wikipedia page on Lenz's law says that it is "a qualitative law that specifies the direction of induced current but says nothing about its magnitude." I am trying to understand how Lenz's law would cause a transformer to behave under the following conditions.
Suppose I have a step down transformer where power is put through the primary coil in one direction only, then stopped, then repeated, at a frequency of 60 Hz. The current is AC, but only moves in the one direction, powered on in a sine wave, and then left off for the same period of time before being powered on again.
When current flows through the primary coil, a magnetic field is produced in the core, which induces a voltage in the secondary. What happens next? I feel like Lenz's law says that the secondary coil produces a magnetic field in the core the opposite direction of the field produced by the primary, but I'm sure it can't be the same magnitude. What determines the magnitude of the magnetic field produced by the secondary coil?
Edit Sorry, through a combination of not explaining myself well and also not fully understanding, my question had its flaws. Let me revise the situation and try to explain it better. The current through the primary is not simply switched on, left on, and switched off, but put through the coil in a half sine wave, shown here in the lower image.
The current flows in one direction but the level of current is constantly changing so as to produce a changing magnetic field in the core. If the frequency and current are controlled so as to avoid core saturation, can this revised set up still induce a voltage in the secondary coil? If so, would the induced voltage in the secondary coil create a magnetic field that would oppose the field created by the primary?