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Question:

How does induced emf in an inductor change when you increase the current?

Find the induced emf when the current in a 47.5 mH inductor increases from 0 to 521 mA in 17.1 ms. Any help would be appreciated. If you are able to answer this one, please show your work. Thanks!

Answer:

Find the induced emf when the current in a 47.5 mH inductor increases from 0 to 521 mA in 17.1 ms. EMF is voltage. As the current increases, the magnetic field increases. This increasing magnetic field induces an emf. The emf is directly proportional to the rate of change of the current. EMF -L * (? I ÷ ?t) L 47 mH 0.047 Henry ? I 521 mA 0.521 amp ?t 17.1 ms 0.0171 seconds EMF -0.047 * (0.521 ÷0.0171) The unit is volts
v L di/dt di/dt is the rate of change of current, or put another way, the change in current over time. You can see that this is (0.521 - 0)/(0.017 - 0) If the units are Amperes, Seconds, and Henrys on the right, the formula will produce Volts on the left.

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