Probably better to have some example, so i took your values of 24V and 1ohm coil, and i also took L=2mH, coz i need something for time constant, and i took a set point of 1A. And i change progressively the V and R values. Last case is a case with 12ohms coil and 12psu and we just wait it to reach 1A, which tries to overlap our set point and ohms law. This result is not very confident because its a case of convergent series, so i took 11.999 instead of exactly 12. You see each case gets progressively worse. Here is output from wxmaxima, for each case, which tells exactly how many seconds the current needs to reach 1A:
(%o17) "~R:1$ V:24$~"
(%o20) [time=8.511922883759171*10^−5]
(%o21) "~R:2$ V:24$~"
(%o24) [time=1.7402275397925965*10^−4]
(%o25) "~R:2$ V:12$~"
(%o28) [time=3.6464311358790913*10^−4]
(%o29) "~R:4$ V:12$~"
(%o32) [time=8.109302162163261*10^−4]
(%o33) "~R:8$ V:12$~"
(%o36) [time=0.00219722457733622]
(%o37) "~R:11$ V:12$~ aproaching final "
(%o40) [time=.004969813299575999]
(%o41) "~R:11.9999$ V:12$~ setting equals final "
(%o44) [time=.02339049404352837]
(%o45) "***last/first ratio***"
(%o46) 274.7968274966124
So we control the peak value or limit value or with the pot. But if i can say so, the current that ohms law points at, that value controls how we get there, or to say how much time it takes to get there.
Now, why is this important, because we want, to work at frequencies way above human ear, say >30khz, and we also want the current to be able to actually reach our set point in due time. In some cases we may be able to get both. But as cases gets worse, we are in trouble, e.g. cant have 30kHz with 0.02 seconds time period, can we. So one of these has to give in, because even that fall time is shorter it wont help us by much. And if we want to keep the frequency high, that means in some cases, the current will simply not have enough time to reach our set point in due time. And since current is directly proportional to flux, that means we will be getting less torque. This example is ofc to put things simple, real stuff probably gets much messier than this, but i believe this is the idea. I hope you do understand my point now.
(%o17) "~R:1$ V:24$~"
(%o20) [time=8.511922883759171*10^−5]
(%o21) "~R:2$ V:24$~"
(%o24) [time=1.7402275397925965*10^−4]
(%o25) "~R:2$ V:12$~"
(%o28) [time=3.6464311358790913*10^−4]
(%o29) "~R:4$ V:12$~"
(%o32) [time=8.109302162163261*10^−4]
(%o33) "~R:8$ V:12$~"
(%o36) [time=0.00219722457733622]
(%o37) "~R:11$ V:12$~ aproaching final "
(%o40) [time=.004969813299575999]
(%o41) "~R:11.9999$ V:12$~ setting equals final "
(%o44) [time=.02339049404352837]
(%o45) "***last/first ratio***"
(%o46) 274.7968274966124
So we control the peak value or limit value or with the pot. But if i can say so, the current that ohms law points at, that value controls how we get there, or to say how much time it takes to get there.
Now, why is this important, because we want, to work at frequencies way above human ear, say >30khz, and we also want the current to be able to actually reach our set point in due time. In some cases we may be able to get both. But as cases gets worse, we are in trouble, e.g. cant have 30kHz with 0.02 seconds time period, can we. So one of these has to give in, because even that fall time is shorter it wont help us by much. And if we want to keep the frequency high, that means in some cases, the current will simply not have enough time to reach our set point in due time. And since current is directly proportional to flux, that means we will be getting less torque. This example is ofc to put things simple, real stuff probably gets much messier than this, but i believe this is the idea. I hope you do understand my point now.