Hmm, There's still something I don't quite get, sorry for being a bother. What is wrong with my logic?
No bother at all! This is a little tough - First, remember that voltage (more appropriately, current) isn't directly related to speed. It is related to torque, \(\tau=BAIn\). While torque can translate into greater speed, it does depend a little what we've got the thing attached to. You can actually analyse what's called the torque/speed characteristics of a motor, the torque it can provide at a given speed. This is beyond syllabus but the idea is that we can't assume a direct relationship between voltage and speed, especially for an AC motor.
The logic you've used is definitely correct in principle. I think the simplest way to think about how to apply it to this question is this. Consider the simple AC motor that we like to draw (which we never use in the real world, mind you, which is why this all seems a bit wishy washy):
- If the AC frequency is 50Hz, we literally can't make the motor spin at more than 50 revolutions per second. We can up the voltage all we like, but 50 revs per second is the limit.
- Now what if we dropped to 45Hz without changing the voltage. Would we still spin at all? Maybe, maybe not - But what's the new limit? 45 revolutions per second. If we do spin, that's what we spin at.
I suppose the point I'm driving is, you can't go faster than your AC frequency allows. It sets the speed limit. You need to be in tune with
it to get your spins. Varying voltage means nothing if you aren't working with your AC frequency.
I liken it to running on an electronic treadmill (where the belt runs at a speed you set on a control panel). Once you set that speed, that determines how quickly you are running. Sure, you can run 'harder,' pump harder with your legs and do more work - That's kind of like increasing your voltage. But you aren't going to move any faster - If you try to use that energy to move faster, you crash into the front of the treadmill and you stop. So it doesn't work!
Again, I know this is wish-washy. You are critiquing a model of an AC motor, and you are right to do it, because the model you learn isn't practical and doesn't actually make sense. Don't worry, the AC motors that actually move stuff around in our world are far more sophisticated than a coil in between a couple of bar magnets
it might not rest quite right, and that's okay. Just try and remember that frequency is king/queen for an AC motor