The number of poles of a synchronous machine determines
Answer: A
Correct answer: its speed at a given supply frequency
The synchronous speed is \( 120f/P \), so at 50 Hz a two-pole machine runs at 3000 rpm, a four-pole at 1500, a six-pole at 1000, and so on. Pole number is chosen to give the speed the driven load wants without a gearbox - hence the many-poled machines of low-speed hydro sets. It has no bearing on the power factor, which excitation sets, or on the excitation current itself.
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