Suppose I have a constant current source, I,connected to the primary winding. After a long time a switch disconnects the primary from the source and connects it to a parallel resistor R (thus forming an RL circuit).

So now the current equation is IL=Iexp(-t/tau).

My question is this: If tau is very small (meaning the resistor R is large), so the discharge time is very small, will this create a pulse on the secondary winding (similar to the inductive kick, where the current goes rappidly from constant to zero)?

Thanks.