The potential at $a$ is higher than the potential at $b$ . Which of the following statements about the ideal inductor current I could be true?

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$I$ is from b to a and decreasing

$I$ is from b to a and increasing

$I$ is from a to b and decreasing

$I$ is from a to b and increasing

answer is A, D.

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Detailed Solution

Let say current is from a to b

$V_{A} - V_{B} = + L \frac{d i}{d t}$

So, $\frac{d i}{d t}$ should be positive. Hence, current is increasing.

When current is from b to a

$V_{A} - V_{B} = - L \frac{d i}{d t}$

So, $\frac{d i}{d t}$ should be negative. Hence, current is decreasing.

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