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01510.0 points A transformer consists of two coils of wire wound on a common toroidal iron core. The mutual inductance of the pair is 120 mH and...

Question

01510.0 points A transformer consists of two coils of wire wound on a common toroidal iron core. The mutual inductance of the pair is 120 mH and

015 10.0 points A transformer consists of two coils of wire wound on a common toroidal iron core. The mutual inductance of the pair is 120 mH and



Answers

An emf of 96.0 $\mathrm{mV}$ is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 $\mathrm{A} / \mathrm{s}$ . What is the mutual inductance of the two coils?

For this problem on the topic of inducted its, we are told that an E M. F. Of 96 million volts is induced within a coil when the current that is flowing in a nearby coil is increasing at a rate of 1.2 mps per second. Using this information, we want to find the mutual conductance of these two coils. Now we know the E. M. F induced in the second coil. Absalon too is able to minus the mutual conductance between the coils, M times the rate at which the current in quail one is changing the I one D. T. And we want to find the mutual in London's M. And so M is minus epsilon too divided by the iowan E. T. And both of these values are known. So we can find this mutual conductance that's minus he Voltage of 96 Milli volts or 96. We'll leave it at 96 million balls, divided by the rate at which the current is changing one 0.2 mps per second, which gives us the mutual inducted is between these two coils to b minus 80 milli volts -80 mL's rather

In this problem, we have given two guys hand in fixed tradition mutual induct Ince's Given, which is equal to 100 Micro Henry 100 Intuit entry power minus six and Lee and function off. I is given 10.0 and fear in tow Sign 1000 in Turkey. We know that you too will be equal toe am de even Why d d put the values I was given 102 time to leave our minus six And the diver deity will be called true If we differentiate this with respect to time, it will give Stan into 1000 in tow cause 1000 in two d No, For the maximum value, we know that the value of course function is equal to one the next one you too Well, you will be one world

In this problem, on the topic of inductions were told that two coils have a mutual induction of 100 Micro Henry's And when the we want to calculate the peak voltage in one, when the neighboring coil has a sinus total current that is 10 mps times a sign of 1000 T. Is flowing through it. So the EMF induced in the second coil excellent too. Is able to minus the mutual inductions. M Times the rate at which current is changing in the first d. i. one T. T. And this is minus one Times 10 to the minus for Henry's times mm. The time derivative of the expression for the current, which is one times 10. The power for mps, the second times the co sign of 1000 times T. And so we know the coastline has a maximum value of one. And so the maximum voltage or the peak voltage in coil too absolute too max is equal to one vote.

Hi in this given problem number of terms in the primary coil these are given us and be current passing through this. Primary coil Is 2.0 Ampere. And corresponding to this current magnetic flux limped through the primary coil That is given us 2.5 into. And if we're minus or weber and that will be the plugs linked through the second recall. Also as both the coils are on the same iron drawer, no turns in the secondary coil, these are given as an S here. Mm been used in the second recall will be given by yep silom smf induced in the secondary coil. That will be equal to using Faraday's law of electromagnetic induction. Number of currents in the second recoil into time rate of change of flux link through the second recoil delta phi as divided by delta T. And that to me also be given as mutual interdependence of the two coils into time rate of change of current in that primary called delta type by delta P. So canceling this delta To here we get an expression for the mutual interdependence of the two coils as and musical too. And as into delta phi. S. The time rate of Sorry, the rate of Sorry, this is the change of flux link through the secondary coil divided by delta I. P. Change of current passing through the primary coil. So here it will be If final flux is supposed to be zero. Initial flux was 2.5 Into 10 days, par minus for weber. Final current that is also zero. An initial current link through the coil. Primary coil wars 2.0 and here. So this mutual induct dance finally comes out to be 1.25 Into 10 ratio par -4 N. S. And we will be a unique. And this is the answer for the second for this given problem. Thank you.


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