Is it possible to connect motors in series?

Question

Electronics

Hello.
Available:

1. Power supply 24v;
   
2. 2 electric motors 12v.
   

As far as we know from the school physics course, when consumers are connected in series, the voltage is divided by the number of consumers. Is this statement correct in practice regarding electric motors?

Answer 1

when consumers are connected in series. the voltage across them will be distributed in proportion to their resistance.
the total current of series-connected resistors is the same
I = U2 / R2 = U1 / R1 from this it turns out that U2 / U1 = R2 / R1
The "resistance" of the engines will have a slightly more complex formula, taking into account the self-induction emf and all that.
In general, if the engines are of the same power (i.e., the winding parameters are identical) and the rotation speed is the same (they turn one shaft), then the power will be distributed fairly evenly.
if the parameters and loads are not the same, then it takes a long time to count, etc. etc.
option 2: screw the balancer :).
I just don't recommend.

Answer 2

At first, I proceeded from the assumption that the motors are collectors, they have two features that must be taken into account in the proposed mode:
1. The collector lamellas are constantly switching, i.e. the consumed current has a pulse component. Two series motors have the same current, and in it, due to the non-synchronism of this switching, the pulse component in the power circuit will increase significantly.
2. The current consumption of such a motor depends on the mechanical load. But if two motors are connected in series, the current through them is the same, so at different loads they will have different voltages. On the one that has it more, it may exceed the face value. Not fatal, but annoying.
But then I read in the comments that the motors are electronically commutated coolers. They also have the same two features: due to the superposition of non-synchronous pulse components, coolers can lose their rotation uniformity and make unusual noises, and under different loads they can also get overvoltage in excess of the nominal (but they have some margin for this parameter).
If it doesn't matter, connect.