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The direction of an induced voltage is such that it always acts to oppose any change of current which causes it.So, for example, during the first quarter-cycle of a sine wave, when the current is increasing, the induced voltage acts oppose that change (increase) -in other words, it acts in the opposite direction to that current. During the second quarter-cycle of a sine wave, when the current is decreasing, the induced voltage again acts opposethat decrease that change (decrease) -in other words, it acts in the same direction to that current -trying to sustain that current.

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Q: What rule should you use in order to determine the direction of induced EMF in a coil?
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