Which Current Direction Consistent with Potential Difference in Coil?

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Homework Statement



A coil with zero resistance has its ends labelled a and b. When a current is passed through the coil the potential at a is higher than the potential at b. Which of the following would be consistent with this situation? (Note, there may be more than one correct alternative.)
A. The current is constant and is directed from a to b.
B. The current is constant and is directed from b to a.
C. The current is increasing and is directed from a to b.
D. The current is decreasing and is directed from a to b.
E. The current is increasing and is directed from b to a.
F. The current is decreasing and is directed from b to a.

Homework Equations


The Attempt at a Solution



How would you interpret this question, is the potential at the ends labelled a and b from the self induced emf of the coil? Which gives the answer D/E.. Or is it like there is a battery where a is at the higher potential and b is at the lower potential in which case the voltage will start decreasing across the inductor as the current increases? which gives me C/F...
 
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The coil has no resistance so the battery drops no potential over it.