Mutual Inductance Calculator

✖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.ⓘ Relative Permeability [μ_r]			+10% -10%
✖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.ⓘ Area of Coil [A]			+10% -10%
✖Number of Conductors is defined as the total number of conductors present at the armature winding of any machine.ⓘ Number of Conductors [Z]			+10% -10%
✖Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.ⓘ Secondary Turns of Coil [N₂]			+10% -10%
✖The Mean length the effective length of a closed magnetic loop inside a magnetic core made of ferromagnetic material which may be also gapped.ⓘ Mean Length [L_mean]			+10% -10%

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

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Formula

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Mutual Inductance

Formula

`"M" = ("[Permeability-vacuum]"*"μ"_{"r"}*"A"*"Z"*"N"_{"2"})/"L"_{"mean"}`

Example

`"0.746128H"=("[Permeability-vacuum]"*"1.9H/m"*"0.25m²"*"1500"*"18")/"21.6mm"`

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Mutual Inductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length
M = ([Permeability-vacuum]*μ_r*A*Z*N₂)/L_mean
This formula uses 1 Constants, 6 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6

Variables Used

Mutual Inductance - (Measured in Henry) - The Mutual Inductance is defined as when two or more coils are magnetically linked together by a common magnetic flux.
Relative Permeability - (Measured in Henry per Meter) - 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.
Area of Coil - (Measured in Square Meter) - 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.
Number of Conductors - Number of Conductors is defined as the total number of conductors present at the armature winding of any machine.
Secondary Turns of Coil - Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.
Mean Length - (Measured in Meter) - The Mean length the effective length of a closed magnetic loop inside a magnetic core made of ferromagnetic material which may be also gapped.

STEP 1: Convert Input(s) to Base Unit

Relative Permeability: 1.9 Henry per Meter --> 1.9 Henry per Meter No Conversion Required
Area of Coil: 0.25 Square Meter --> 0.25 Square Meter No Conversion Required
Number of Conductors: 1500 --> No Conversion Required
Secondary Turns of Coil: 18 --> No Conversion Required
Mean Length: 21.6 Millimeter --> 0.0216 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = ([Permeability-vacuum]*μ_r*A*Z*N₂)/L_mean --> ([Permeability-vacuum]*1.9*0.25*1500*18)/0.0216

Evaluating ... ...

M = 0.746128255227576

STEP 3: Convert Result to Output's Unit

0.746128255227576 Henry --> No Conversion Required

FINAL ANSWER

0.746128255227576 ≈ 0.746128 Henry <-- Mutual Inductance

(Calculation completed in 00.020 seconds)

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Created by swapanshil kumar

ramgarh engineering college (REC), ramgarh

swapanshil kumar has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 14 Magnetic Specifications Calculators

Mutual Inductance

Go Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length

Flux Density in Toroidal Core

Go Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter)

Magnetic Potential

Go Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance)

Average Hysteresis Power Loss

Go Hysteresis Loss = Hysteresis Constant*Frequency*Magnetic Flux Density^Steinmetz Coefficient

Reluctance

Go Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)

Self Inductance

Go Self Inductance = (Number of Conductors*Magnetic Flux)/Coil Current

Magnetic Flux Density using Magnetic Field Intensity

Go Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity

Magnetic Susceptibility

Go Magnetic Susceptibility = Intensity of Magnetization/Magnetic Field Intensity

Intensity of Magnetization

Go Intensity of Magnetization = Magnetic Moment/Volume

Magnetic Flux using Flux Density

Go Magnetic Flux = Magnetic Flux Density*Area of Coil

Magnetic Flux Density

Go Magnetic Flux Density = Magnetic Flux/Area of Coil

Magnetic Field Strength

Go Magnetic Field Strength = Force/Magnetic Moment

Magnetic Flux in Core

Go Magnetic Flux = Magnetomotive Force/Reluctance

Permeance

Go Magnetic Permeance = 1/Reluctance

Mutual Inductance Formula

Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length
M = ([Permeability-vacuum]*μ_r*A*Z*N₂)/L_mean

What is mutual and self-inductance?

Mutual inductance is simply the generation of an induced EMF in a coil as a result of current flowing in an adjacent coil. In self-inductance, changes in the flow of current in a coil are opposed by the coil itself by inducing an EMF in the same coil, i.e., no other coil is involved.

What is this inductance?

inductance, property of a conductor (often in the shape of a coil) that is measured by the size of the electromotive force, or voltage, induced in it, compared with the rate of change of the electric current that produces the voltage.

How to Calculate Mutual Inductance?

Mutual Inductance calculator uses Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length to calculate 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 calculate Mutual Inductance using this online calculator? To use this online calculator 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. Here is how the Mutual Inductance calculation can be explained with given input values -> 0.746128 = ([Permeability-vacuum]*1.9*0.25*1500*18)/0.0216.

FAQ

What is Mutual Inductance?

Mutual inductance out of the two coils one coil opposes change in the strength of the current flowing in the other coil and is represented as M = ([Permeability-vacuum]*μ_r*A*Z*N₂)/L_mean or Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length. 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, 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, Number of Conductors is defined as the total number of conductors present at the armature winding of any machine, Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer & The Mean length the effective length of a closed magnetic loop inside a magnetic core made of ferromagnetic material which may be also gapped.

How to calculate Mutual Inductance?

Mutual inductance out of the two coils one coil opposes change in the strength of the current flowing in the other coil is calculated using Mutual Inductance = ([Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil)/Mean Length. To calculate Mutual Inductance, you need Relative Permeability (μ_r), Area of Coil (A), Number of Conductors (Z), Secondary Turns of Coil (N₂) & Mean Length (L_mean). With our tool, you need to enter the respective value for Relative Permeability, Area of Coil, Number of Conductors, Secondary Turns of Coil & Mean Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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