The transfer between "record" head and "playback" head is done via induction B. If you feed an inductance (that's what a tape head is) with a constant voltage level, the impedance at low frequencies is very small and the current increases, as the induction, at a rate of -6dB/octave. At the playback head, if the induction was constant, the voltage would increase at 6dB/octave. But since the current increases at low frequencies, the compensation is perfect.
Except that nothing is perfect.
The driver stage may not be capable of delivering the current at low frequencies. Or very simply, in order to deliver enough current, the source impedance of the driver must be significantly lower than the head impedance at LF. And the magnetic material of the head would saturate.
In fact, in tape recorders, the record head is current driven, with one of the following methods:
- True current generator (Studer)
- High impedance driver stage (very often with a simple resistor in series)
- Low impedance driver stage with 6dB/octave pre-emphasis
As a result, the playback head shall deliver a reasonably flat response.
Still, there are HF losses that need compensating (some are due to magnetic tape, they should not be of concern to you).