The correct answer is C. Number of parallel paths.
An equalizer ring is a type of electrical component that is used to reduce the effects of magnetic flux leakage in a rotating machine. It does this by providing a path for the magnetic flux to flow through that is parallel to the main flux path. This helps to reduce the amount of flux that is lost to the air, and therefore improves the efficiency of the machine.
The number of tapings for each equalizer ring is equal to the number of parallel paths in the machine. This is because each taping provides a separate path for the magnetic flux to flow through. The more parallel paths there are, the less flux will be lost to the air, and the more efficient the machine will be.
The other options are incorrect because they do not affect the number of tapings for each equalizer ring. The number of pole pairs is the number of pairs of poles that are arranged around the stator of the machine. The number of poles determines the frequency of the alternating current that is produced by the machine. The number of commutator segments is the number of segments that are on the commutator of the machine. The commutator is a device that is used to collect the current from the stator windings and deliver it to the rotor windings.
I hope this explanation is helpful. Please let me know if you have any other questions.