01 - What is Mutual Inductance & Self Inductance in Circuit Analysis?

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In this lesson, we will review the concept of self inductance and introduce the concept of mutual inductance. Whereas self inductance is the induced voltage in a coil by current changing in that coil, the mutual inductance causes an induced voltage in a secondary coil in close proximity to a primary coil.
The concept of mutual inductance is central to understanding the circuit element known as the transformer.

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[@ShonKinsley]

Still waiting for this volume(AC vol 7)to be released. Went through from DC vol 1 to AC vol 6 up to now. Literally fantastic, i started a baby step with engineering circuits and finally have had a fairly good understanding with its related equations.

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[@SyedShah-os7ck]

This is the best video so far explaining concept of self and mutual inductance.

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[@JohnDoe-fe7dm]

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[@emirjais7471]

much better explanation than other video i watched a while ago. Thank you sir.

[@willylagwinski9749]

Any flow of electrical current, including electrons flying through vacuum, generates magnetic field. Inductance is the factor relating one to the other. In the presence of more than one current path, several magnetic fields exist and each of the currents can be related not only to the magnetic field it creates, but also to magnetic fields created by other currents. In such situations it becomes necessary to distinguish between a particular current's relation to its own magnetic field (self inductance) and these of other currents (mutual inductance). Lets consider two straight parallel wires. When placed sufficiently far apart (magnetic fields of the two currents being completely separated) each will exhibit inductance of its own (self inductance), but no mutual inductance will be present (none of the currents will either affect, or be affected by the magnetic field generated by the other current). Once the wires are brought closer, so that in some area where both fields exist simultaneously, the problem of the relation between the current in one wire and the magnetic field generated by the current in the other arises. This relation is referred to as mutual inductance. In this respect it is helpful to think of inductance as a property of the space relating current to energy of the magnetic field, mutual inductance being a factor reflecting the impact of the energy of a "foreign" field. Should the example of two straight wires be overwhelming, then one may consider to parallel circular loops and the magnetic flux resulting from the flowing in each of them current. When the loops are placed sufficiently far apart (none of the magnetic flux emanating from flows through the other) each of the loops exhibits self inductance of its own (self inductance), but no mutual inductance exists. As the loops are brought closer, so some of the flux emanating from one flows through the are of the other, mutual inductance begins to manifests itself, reaching its maximum value when all of the flux generated by one of the loops flows trough the other. Here it helps to think of inductance as of the ratio between magnetic flux and the generating it current . By now it ought to be evident that mutual inductance of either of the loops may vary from zero to that approaching the loop's self inductance.

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Better presentation ❤

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The hero we need but not who we deserve

[@socalwoodmarquee]

Awesome how he breaks it down! Thank you!

[@leyawonder2306]

Thanks a lot, that was a very great explanation, way better than my teacher 😂

[@sahidamardhi]

This topic is not available for member with subscription on the site?

[@MathAndScience]

Need to finish those set of lessons. As soon as I do they will be posted.

[@FurkanBilgekaganErtugrul-1037]

@@MathAndScience Hello sir, when will they (Ac vol 7 and etc) be ready to watch them via the website or youtube? Do you have a avarage estimate about the time? The courses are really helpful and I would like to know if they will be ready in the coming months.

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[@marychen807]

I'm a member to your website and can't find this video on there. Could you point me to where it is located on your website? Which course is this?

[@AGQ720]

Currently studying these topics at my university and you're the one thing keeping me going with these topics as the professor just skims through everything. Is a full set of this available anywhere? I only see up to 3-phase circuits

[@koshka02]

Same. Its really a shame that most Professors just skim through. They're not actually interested in teaching. They just have to get you through the material to get to the exam. But they never actually slow down and explain in detail .

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Fabulous content (for lack of a better word)

[@tanvirmahtab7666]

waiting for the course for long long time.......please release it soon jason......stay safe from covid ... thanks

[@FurkanBilgekaganErtugrul-1037]

@Math and Science Hello sir, when will they (Ac vol 7 and etc) be ready to watch them via the website or youtube? Do you have a avarage estimate about the time? The courses are really helpful and I would like to know if they will be ready in the coming months.

[@goon5544]

The ac current causes the source to get bigger and bigger till it peaks, and then gets smaller and smaller until the source complete switches the direction the current is going in the opposite direction so you flip the signs of the source and the current is going into the bottom wire(how you have it drawn) now. Same goes for the magnetic field, it gets big, small then switches polarity, so the flux might be going clockwise on the up cycle then counter clockwise on the reverse cycle.

[@hasanxnv]

you are an amazing teacher. Very best. thanks

[@soderdaen]

AT 16:05: Can the Mutual indactance even be higher then the self inductance itself?

[@martinhorodrigues5511]

Hi from Brasil, congratulations for the vídeos, learning a lot here!!!!

[@chriskosik663]

Fantastic lecture. Clear explanation and nice diction.

[@MathAndScience]

Thanks so much!

[@mike-yp1uk]

Good material

[@brandonKA4993]

Hi Jason, great explanation on this topic. I bought your bundle pack of lessons and I wish you had subjects on electromagnetics and more on transformers. When do you think you will have complete lessons on these subject matters.

[@MathAndScience]

Thanks very much. The transformers will be in the next few months. Electromagnetics is my true love, but I don't have a firm timetable on that - need to find the time. Good luck in your studies! Jason, MathAndScience.com

[@anthonymartinez9145]

@@MathAndScience I appreciate your great help and your teaching skills. It appears that the transformers lessons were never created. Is that correct? I want to make sure that I did not skip by it as I searched.

[@danafayez4896]

where did you discuss the deep physics behind it?

[@ecstazyrm]

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[@alexanderle4643]

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Thanks sir. We understand mutual inductantans very well .

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[@kaedekasahara-322]

Nice video

[@gowrissshanker9109]

Respected sir🌟🌟🌟Ohm's law says current is directly proportional to voltage.....then how come in STEP UP TRANSFORMER we could decrease the current by increasing VOLTAGE....what's doing on in it?? Thank you sir

[@mthobekinkomomtho7297]

I have question how draw a maximum current curve and time constant

[@pmq6645]

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[@tightonthatmoney]

hey very good video but where is the rest of the transformer and ideal transformer series

[@maybach300c]

I like to think about (analogy) V = L (di/dt) electrical F = m (dv/dt) mechanical

[@fahimkhalasi4115]

can you put more videos on transformers please on ac circuit vol 7 playlist please

[@fahimkhalasi4115]

Sir, why do you like electricity and magnetism a lot?

[@mastersnoop454]

thanks my dude

[@yame550]

Hey Jason, nice work! When will you release the rest of this series? :)

[@MathAndScience]

Thanks very much. For sure sometime in the spring, but don't have a specific date!

[@yame550]

Nice, looking forward to it. Hope you include the Per-Unit method also :)

[@yame550]

@@MathAndScience might it be released this spring? :)

[@gabrieljedder8956]

Hello Jason! When will you continue this transformer series?

[@fahimkhalasi4115]

I think inductance and transformers are closely related right

[@Englulei]

Nice lesson.

[@MathAndScience]

I really appreciate it! Jason, MathAndScience.com

[@Lovinflyindrones2022]

Where should I start watching your videos on here on circuits

[@shayorshayorshayor]

Hi Jason/Paul. Can someone please let me know which playlist this is under on Mathtutor website? I need to study Transformers for my third year mech eng. Please help

[@TwelverImam]

Many thanks..

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What does J in J10Ω mean ?

[@palmeipantipupalmeipantipu9664]

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[@naz4012]

Why do short circuits have zero voltage and infinite current? How can current flow with nothing to "push" it? pls explain.

[@amankrx]

It's better to say undefined. And it's little different theoretically and practically. Which one do you want to know.

[@sharifulifty]

Tnx sir 💙❤

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[@MathAndScience]

Most welcome