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Mutual Inductance Formula

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The Mutual Inductance is defined as when two or more coils are magnetically linked together by a common magnetic flux. Check FAQs

M = \frac{[Permeability-vacuum] \cdot μ r \cdot A \cdot Z \cdot N 2}{L mean}

M - Mutual Inductance?μ_r - Relative Permeability?A - Area of Coil?Z - Number of Conductors?N₂ - Secondary Turns of Coil?L_mean - Mean Length?[Permeability-vacuum] - Permeability of vacuum?

Mutual Inductance Example

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Here is how the Mutual Inductance equation looks like with Values.

Here is how the Mutual Inductance equation looks like with Units.

Here is how the Mutual Inductance equation looks like.

0.7461 = \frac{1.3E-6 \cdot 1.9 \cdot 0.25 \cdot 1500 \cdot 18}{21.6}

0.7461H = \frac{1.3E-6 \cdot 1.9H/m \cdot 0.25m² \cdot 1500 \cdot 18}{21.6mm}

0.7461 = \frac{1.3E-6 \cdot 1.9 \cdot 0.25 \cdot 1500 \cdot 18}{21.6}

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Mutual Inductance Solution

Follow our step by step solution on how to calculate Mutual Inductance?

FIRST Step Consider the formula

M = \frac{[Permeability-vacuum] \cdot μ r \cdot A \cdot Z \cdot N 2}{L mean}

Next Step Substitute values of Variables

∴

M = \frac{[Permeability-vacuum] \cdot 1.9H/m \cdot 0.25m² \cdot 1500 \cdot 18}{21.6mm}

Next Step Substitute values of Constants

∴

M = \frac{1.3E-6 \cdot 1.9H/m \cdot 0.25m² \cdot 1500 \cdot 18}{21.6mm}

Next Step Convert Units

∴

M = \frac{1.3E-6 \cdot 1.9H/m \cdot 0.25m² \cdot 1500 \cdot 18}{0.0216m}

Next Step Prepare to Evaluate

∴

M = \frac{1.3E-6 \cdot 1.9 \cdot 0.25 \cdot 1500 \cdot 18}{0.0216}

Next Step Evaluate

∴

M = 0.746128255227576H

LAST Step Rounding Answer

∴

M = 0.7461H

Mutual Inductance Formula Elements

Variables

Constants

Mutual Inductance

The Mutual Inductance is defined as when two or more coils are magnetically linked together by a common magnetic flux.

Symbol: M

Measurement: InductanceUnit: H

Note: Value can be positive or negative.

Formulas to find Mutual Inductance

Relative Permeability

Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.

Symbol: μ_r

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value can be positive or negative.

Formulas to find Relative Permeability

Area of Coil

The area of coil is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Coil

Number of Conductors

Number of Conductors is defined as the total number of conductors present at the armature winding of any machine.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Conductors

Secondary Turns of Coil

Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.

Symbol: N₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Secondary Turns of Coil

Mean Length

The Mean length the effective length of a closed magnetic loop inside a magnetic core made of ferromagnetic material which may be also gapped.

Symbol: L_mean

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Length

Permeability of vacuum

Permeability of vacuum is a fundamental physical constant that relates the magnetic field within a vacuum to the current producing that field.

Symbol: [Permeability-vacuum]

Value: 1.2566E-6

Other formulas in Magnetic Specifications category

Go Intensity of Magnetization

I mag = \frac{m}{V}

Go Magnetic Flux Density

B = \frac{Φ m}{A}

Go Magnetic Flux Density using Magnetic Field Intensity

B = μ \cdot I

Go Reluctance

S = \frac{L mean}{μ \cdot A}

How to Evaluate Mutual Inductance?

Mutual Inductance evaluator uses Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length to evaluate the Mutual Inductance, Mutual inductance out of the two coils one coil opposes change in the strength of the current flowing in the other coil. Mutual Inductance is denoted by M symbol.

How to evaluate Mutual Inductance using this online evaluator? To use this online evaluator for Mutual Inductance, enter Relative Permeability (μ_r), Area of Coil (A), Number of Conductors (Z), Secondary Turns of Coil (N₂) & Mean Length (L_mean) and hit the calculate button.

FAQs on Mutual Inductance

What is the formula to find Mutual Inductance?

The formula of Mutual Inductance is expressed as Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length. Here is an example- 0.746128 = ([Permeability-vacuum]*1.9*0.25*1500*18)/0.0216.

How to calculate Mutual Inductance?

With Relative Permeability (μ_r), Area of Coil (A), Number of Conductors (Z), Secondary Turns of Coil (N₂) & Mean Length (L_mean) we can find Mutual Inductance using the formula - Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length. This formula also uses Permeability of vacuum constant(s).

Can the Mutual Inductance be negative?

Yes, the Mutual Inductance, measured in Inductance can be negative.

Which unit is used to measure Mutual Inductance?

Mutual Inductance is usually measured using the Henry[H] for Inductance. Millihenry[H], Microhenry[H] are the few other units in which Mutual Inductance can be measured.

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Mutual Inductance Formula

Mutual Inductance Example

Mutual Inductance Solution

Mutual Inductance Formula Elements

Other formulas in Magnetic Specifications category

How to Evaluate Mutual Inductance?

FAQs on Mutual Inductance

Variable Name