Final answer:
The total e.m.f. generated by the 6-pole DC service generator can be calculated using the formula E = (N * ϕ * Z * P * n) / (60 * A) by substituting the given values for the number of turns, magnetic flux per pole, total number of conductors, number of poles, rotational speed, and number of parallel paths.
Step-by-step explanation:
To calculate the total electromotive force (e.m.f.) generated by a 6-pole DC service generator, we can use the formula for the emf generated in a generator, which is E = (N * ϕ * Z * P * n) / (60 * A), where:
- N = number of turns of the coil (since we have 468 conductors connected in 6 parallel circuits, N = 468/6)
- ϕ = magnetic flux per pole in webers (64 mWb or 0.064 Wb for each pole)
- Z = total number of conductors (468)
- P = number of poles (6)
- n = rotational speed in revolutions per minute (1000 r.p.m.)
- A = number of parallel paths through the armature (6, in this case)
Substituting these values, we calculate the total e.m.f. produced by the generator.
E = (N * ϕ * Z * P * n) / (60 * A) = ((468/6) * 0.064 * 468 * 6 * 1000) / (60 * 6)
After calculating this expression, we can find the total e.m.f. generated by the machine.