Internal Inductance of Long Straight Wire Calculator

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✖Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field.ⓘ Magnetic Permeability [μ]

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✖The Internal Inductance of Long Straight Wire of circular cross-section, radius a, and uniform current distribution.ⓘ Internal Inductance of Long Straight Wire [L_a]

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Formula

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Internal Inductance of Long Straight Wire

Formula

`"L"_{"a"} = "μ"/(8*pi)`

Example

`"116.6208H/m"="29.31H/cm"/(8*pi)`

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Internal Inductance of Long Straight Wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)
L_a = μ/(8*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Internal Inductance of Long Straight Wire - (Measured in Henry per Meter) - The Internal Inductance of Long Straight Wire of circular cross-section, radius a, and uniform current distribution.
Magnetic Permeability - (Measured in Henry per Meter) - Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field.

STEP 1: Convert Input(s) to Base Unit

Magnetic Permeability: 29.31 Henry per Centimeter --> 2931 Henry per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_a = μ/(8*pi) --> 2931/(8*pi)

Evaluating ... ...

L_a = 116.620784550586

STEP 3: Convert Result to Output's Unit

116.620784550586 Henry per Meter --> No Conversion Required

FINAL ANSWER

116.620784550586 ≈ 116.6208 Henry per Meter <-- Internal Inductance of Long Straight Wire

(Calculation completed in 00.020 seconds)

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Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

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Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

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< 20 Magnetic Forces and Materials Calculators

Biot-Savart Equation

Go Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)

Retarded Vector Magnetic Potential

Go Retarded Vector Magnetic Potential = int((Magnetic Permeability of Medium*Amperes Circuital Current*x)/(4*pi*Perpendicular Distance),x,0,Length)

Biot-Savart Equation using Current Density

Go Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)

Vector Magnetic Potential

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)

Vector Magnetic Potential using Current Density

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)

Magnetic Force by Lorentz Force Equation

Go Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))

Electric Potential in Magnetic Field

Go Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)

Resistance of Cylindrical Conductor

Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)

Magnetic Scalar Potential

Go Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))

Current Flowing through N-Turn Coil

Go Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil

Magnetization using Magnetic Field Strength, and Magnetic Flux Density

Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength

Magnetic Flux Density using Magnetic Field Strength, and Magnetization

Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)

Ampere's Circuital Equation

Go Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)

Absolute Permeability using Relative Permeability and Permeability of Free Space

Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]

Electromotive Force about Closed Path

Go Electromotive Force = int(Electric Field*x,x,0,Length)

Free Space Magnetic Flux Density

Go Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength

Net Bound Current

Go Net Bound Current = int(Magnetization,x,0,Length)

Internal Inductance of Long Straight Wire

Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)

Magnetomotive Force given Reluctance and Magnetic Flux

Go Magnetomotive Voltage = Magnetic Flux*Reluctance

Magnetic Susceptibility using relative permeability

Go Magnetic Susceptibility = Magnetic Permeability-1

Internal Inductance of Long Straight Wire Formula

Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)
L_a = μ/(8*pi)

What is the significance of internal inductance of a long straight wire ?

Understanding the self-inductance effects within the wire itself requires an understanding of the internal inductance of a long straight wire. It measures the extent to which the magnetic field generated by the current passing through the wire affects the wire's capacity to generate a voltage when the current varies. An essential characteristic that influences the behavior of electrical circuits, particularly those with lengthy conductors or transmission lines, is this self-inductance.

When the length of the wire is similar to the wavelength of the signals passing through it, the internal inductance becomes quite significant. In certain situations, the self-inductance of the wire may interact with capacitance and resistance, affecting the system's overall impedance and transmission properties.

How to Calculate Internal Inductance of Long Straight Wire?

Internal Inductance of Long Straight Wire calculator uses Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi) to calculate the Internal Inductance of Long Straight Wire, The Internal Inductance of Long Straight Wire is a measure of the ability of the wire to generate a magnetic field and induce a voltage in itself due to a change in the current flowing through it. Internal Inductance of Long Straight Wire is denoted by L_a symbol.

How to calculate Internal Inductance of Long Straight Wire using this online calculator? To use this online calculator for Internal Inductance of Long Straight Wire, enter Magnetic Permeability (μ) and hit the calculate button. Here is how the Internal Inductance of Long Straight Wire calculation can be explained with given input values -> 116.6208 = 2931/(8*pi).

FAQ

What is Internal Inductance of Long Straight Wire?

The Internal Inductance of Long Straight Wire is a measure of the ability of the wire to generate a magnetic field and induce a voltage in itself due to a change in the current flowing through it and is represented as L_a = μ/(8*pi) or Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi). Magnetic Permeability is a property of a material's ability to respond to a magnetic field.It quantifies how easily a substance can be magnetized in the presence of a magnetic field.

How to calculate Internal Inductance of Long Straight Wire?

The Internal Inductance of Long Straight Wire is a measure of the ability of the wire to generate a magnetic field and induce a voltage in itself due to a change in the current flowing through it is calculated using Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi). To calculate Internal Inductance of Long Straight Wire, you need Magnetic Permeability (μ). With our tool, you need to enter the respective value for Magnetic Permeability 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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