Dash-IQ said:
Still the principle applies, that we can maintain the same current by supplying more source-emf, and what Kirchoff answered is perfect for a "general question" that I believe fits for all cases.
Varying inductance with constant current is just something we don't encounter in everyday electronics.
Sophie and Kirchoff are two good sources to believe in...great minds run together.
Here's a real world example from a system i used to work on
http://racks.ams-corp.com/ams_new/p...012/07/CRDM-Automated-Rod-Movement-Timing.pdf
(i tried to paste in the image but am unable, even with nitro-reader)
the system provides controlled DC current to electromagnetic solenoids that move the control rods in a reactor
it rectifies three phase, modulating the firing angle to force current to whatever the system commands - zero, low or high amps..
look at the three brown traces mid page left side
center trace
system calls for high current and advances firing angle to apply full voltage, so current starts ramping up from zero according to e = Ldi/dt
just before reaching full current the solenoid moves which reduces its air gap
which let's flux increase ,
producing more counter-emf
causing that brief "dip" in the current wave
when there's a microphone on the mechanism you hear a distinct "clank" as it snaps into place
the system controls applied voltage to place current at the commanded level
as you see, changing inductance briefly perturbs it.
But the closed loop prevails in the end.
You can see ripple in the current waveform at high current - raggedy looking top more visible in the shaded section at top of page. That's because it's just rectified three phase with no smoothing capacitors.
images from patent on the 'new improved digital' system(i worked on the old unimproved analog one):
http://www.google.com/patents/US5999583
closed loop current regulator
current waveforms expected during rod motion