mutual inductance

n. Abbr. M The principle that a change of current in one circuit can induce electromotive force in a neighboring circuit, equal to the ratio of the electromotive force in a circuit to the corresponding change of current in a neighboring circuit.

mutual inductance

n (General Physics) a measure of the mutual induction between two magnetically linked circuits, given as the ratio of the induced electromotive force to the rate of change of current producing it. It is usually measured in henries. Symbol: M or L12 Also called: coefficient of mutual induction

Thesaurus

Noun

mutual inductance - a measure of the induction between two circuits; the ratio of the electromotive force in a circuit to the corresponding change of current in a neighboring circuit; usually measured in henriescoefficient of mutual inductioncoefficient - a constant number that serves as a measure of some property or characteristic

Mutual Inductance

mutual inductance

[′myü·chə·wəl in′dək·təns] (electromagnetism) Property of two neighboring circuits, equal to the ratio of the electromotive force induced in one circuit to the rate of change of current in the other circuit.

Mutual Inductance

a quantity that characterizes the magnetic coupling between two or more electric circuits. If there are two conducting circuits, (1) and (2), some of the lines of magnetic induction generated by the current flowing through the first circuit will penetrate the area within the second circuit (see Figure 1)—that is, they will be coupled with the second circuit. The magnetic flux Φ₁₂ through circuit (2) generated by the current I in circuit (1) is directly proportional to the current:

Φ₁₂ = M₁₂I₁

The proportionality coefficient M₂ depends on the dimensions and form of circuits (1) and (2), on the distance between the circuits, on their relative positions, and on the magnetic permeability of the surrounding medium. This coefficient is called mutual inductance or the coefficient of mutual induction. In the SI system of units, mutual inductance is measured in henrys.

Figure 1

If current I₂ flows through circuit (2), the magnetic flux Φ₁₂ through the area of circuit (1) is also proportional to the current:

Φ₂₁ = M₂₁I₂

where M₂₁ = M₁₂.

The existence of a magnetic coupling between the circuits is manifested by the fact that, upon a change of current in one circuit, an induced electromotive force appears in the adjacent circuit. According to the law of electromagnetic induction,

where E₂ and E₁ are induced electromotive forces arising in circuits (2) and (1) and ΔΦ_]2 and ΔΦ₂₁ are the change in magnetic fluxes through the respective circuits over time Δt.

The mutual energy W₁₂ of the magnetic field is expressed with the aid of mutual inductance for the currents I₁ and I₂ as follows:

W_l2 = ±M₁₂I₁I₂

The sign in (4) depends on the direction of the currents.

REFERENCE

Kalashnikov, S.G. Elektrichestvo. Moscow, 1970. Chapter 10. (Obshchiikurs fiziki, vol. 2.)

G. IA. MIAKISHEV

mutual inductance

mutual inductance

mutual inductance

Mutual Inductance

mutual inductance

Mutual Inductance

REFERENCE

mutual inductance

Synonyms for mutual inductance

noun a measure of the induction between two circuits

Synonyms

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