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Problem 2 Most manufactured inductors aren\'t simply coils with nothing in the m

ID: 1730664 • Letter: P

Question

Problem 2 Most manufactured inductors aren't simply coils with nothing in the middlethey tend to have an iron core. This serves a similar purpose to dielectrics in capacitors-makes the inductance larger for a given inductor. But it also introduces an effect called hysteresis that is due to the iron becoming magnetized. Once the current stops in the inductor, the core will maintaina magnetic field. a) Say I attached a battery to an inductor for a time T that is enough to fully magnetize the iron core. Then I fip the battery around. Provide a description of what happens. Does the current increase more slowly? more quickly? how do you know? b) What overall impacts will this have in an AC circuit? You don't have to go into detail but pick a simple cirut and describe what should happen

Explanation / Answer

a. for an inductor with iron core, it gets magnetised when the inductor is charged

so when the polarity of the battery is reversed, the already developed magnetism of the core tries to resist the magnetisation of the core in the opposite direction

this will lead to slower discharge of the inductor than anticipated

hence the current increases more slowly

and inductor charging in the opposite polarity is slower than what is expected to occur with an unmagnetized core

b. For an AC circuit, this means that for AC power sources, inductors will have different rates of change of current for magnetized cores being used, hence power supply for the two half cycles in AC power source for appliances having inductors is not exactly the same due to magnetic hysterisis

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