understanding inductor behavior in switching threw simulation question

[yefj]

Hello,From the theory of inductors we know that in a case ofcurrent jump it has to keep the current continues but the voltage is has to change .
However as you can see in the simulation below when source current changes then the current threw the coil changes also.
So what does it mean when they say that inductor inforces a continuety in current?
How can I see it in the simulation below?
Ltspice file is attached.

 

[BradtheRad]

where can we see this continuety?

Examples:

* Advice tells us to connect a diode across relay coils as a safeguard. The diode bleeds away current that tends to continue through the coil after it's de-energized.

* There are ways to put the stored energy to use. Switched-coil converters (buck, boost, buck-boost) have diodes which come into play during the second half of a switching cycle. The diode steers current coming from or going to the inductor. It steers current toward the output stage.
If not a diode then a second transistor. It turns on at the very moment the first transistor shuts off. In that way current generated by the coil is sent to the output stage.

 

[yefj]

So if I understand correctly, if we are charging an inductor.then when we cut the current then current will gradually discharge by exponent of R/L
why the "discontinuety" will be on the voltage that we will get a huge spike of voltage on the output.
correct?
Thanks.

 

[Akanimo]

The current decays with an inverse s-curve profile which exhibits a point of inflexion, so the voltage does not necessarily have a discontinuity. The voltage just grows to a peak and then decays to a new value, which can be 0 V ( with value depending on duration).