Final answer:
An open circuit corresponds to an inductance value of zero, while a short circuit corresponds to an inductance value of infinity.
Step-by-step explanation:
An open circuit is a circuit where there is a gap or break in the pathway for the current to flow. In this case, when there is an open circuit, no current can flow through the inductor. This means that there is no change in current over time, and hence the rate of change of current is zero, which is equivalent to having an inductance value of zero.
A short circuit, on the other hand, is a circuit where the current flows directly from one terminal to another without passing through any load or component. In this case, when there is a short circuit, the current flows freely through the inductor without any resistance. This means that the rate of change of current is maximum, and hence the inductance value is infinity.