Current will flow through resistor R from right to left when the current I in the nearby wire is decreasing, as per Lenz's Law, which states that induced current opposes the change causing it. The magnetic field generated by the current points into the loop, and a decrease in current results in a change in magnetic flux that is directed out of the page. This opposition to the decrease in current leads to the induced current flowing in the specified direction. The discussion also considers other scenarios, but the consensus is that a decreasing current is the primary condition for the flow through the resistor. Understanding these principles is crucial for analyzing electromagnetic interactions in circuits.
