Final answer:
The self-induced emf in an induction coil is at its maximum when the rate of change of the current is at its maximum. The maximum self-induced emf would occur at the point in time where the slope of the current vs. time graph is steepest.
Step-by-step explanation:
The self-induced electromotive force (emf) in an induction coil is at its maximum when the rate of change of the current is at its maximum. This phenomenon is known as electromagnetic induction. Referring to the graph in your question, the maximum self-induced emf would occur at a point in time where the slope, or gradient, of the current vs. time graph is steepest, which represents the greatest change in current over time.
Now, if such a maximum rate of change occurs at several points, the self-induced emf will also be at its maximum at these points since the emf is directly proportional to the rate of change of current.
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