To get rid of the second coil’s signal
nr a “dummy coil” is often used for the NR pickup. This is a matched pickup coil that has no magnets and is often placed away from the strings so it only creates noise
nr. Because this NR coil is matched to the SC coil (small area and large number of turns) to produce the same noise signal, it also has a high resistance and inductance that impacts the signal
sc tone when the coils are connected in series so the out of phase noise signals cancel. Ideally, we want a “benign” NR coil with low resistance and low inductance, however with the same noise sensitivity to cancel the SC coil noise. There are two options to undo the detrimental effects of the dummy coil. The first is to use an active system where the noise
nr output of the dummy coil is added to the SC coil output in an electronic circuit. This keeps the SC signal out of the dummy coil so it has no detrimental impact, however, now you need batteries to power the circuit and you have an “active pickup” system.