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

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.

[janeklof]

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[ShonKinsley]

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[-nadine-]

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[williamkaon]

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[willylagwinski]

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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[SyedShah-osck]

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

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[marychen]

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?

[emirjais]

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[leyawonder]

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[AGQ]

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

[FurkanBilgekaganErtugrul-]

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[tanvirmahtab]

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[sahidamardhi]

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

[hasanxnv]

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[goon]

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.