For both lap and wave windings, there are as many commutator bars as the number of

Commutator bars: In both lap and wave windings of a DC generator, the number of commutator bars is equal to the number of armature conductors.

Reason: Each armature conductor is connected to a commutator bar, and the commutator ensures the reversal of current direction as the armature rotates. This reversal is necessary for maintaining unidirectional current output in the external circuit.

Lap winding: In lap winding, the number of commutator bars is the same as the number of armature coils, which corresponds to the number of armature conductors.

Wave winding: Similarly, in wave winding, the number of commutator bars also equals the number of armature conductors, ensuring proper commutation for each conductor.

Thus, the correct relationship is that the number of commutator bars equals the number of armature conductors.