Inductance per unit Length of Coaxial Cable Calculator

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Guided Waves in Field Theory

Electromagnetic Radiation and Antennas

Magnetic Forces and Materials

✖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]			+10% -10%
✖Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.ⓘ Outer Radius of Coaxial Cable [b_r]			+10% -10%
✖Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.ⓘ Inner Radius of Coaxial Cable [a_r]			+10% -10%

✖Inductance per unit length of Coaxial Cable refers to the ability of the cable to store energy in its electromagnetic field when an electrical current flows through it.ⓘ Inductance per unit Length of Coaxial Cable [L_c]

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Inductance per unit Length of Coaxial Cable

Formula

`"L"_{"c"} = "μ"/2*pi*ln("b"_{"r"}/"a"_{"r"})`

Example

`"199.1685H/cm"="29.31H/cm"/2*pi*ln("18.91cm"/"0.25cm")`

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Inductance per unit Length of Coaxial Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
L_c = μ/2*pi*ln(b_r/a_r)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Inductance per unit length of Coaxial Cable - (Measured in Henry per Meter) - Inductance per unit length of Coaxial Cable refers to the ability of the cable to store energy in its electromagnetic field when an electrical current flows through it.
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.
Outer Radius of Coaxial Cable - (Measured in Meter) - Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.
Inner Radius of Coaxial Cable - (Measured in Meter) - Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.

STEP 1: Convert Input(s) to Base Unit

Magnetic Permeability: 29.31 Henry per Centimeter --> 2931 Henry per Meter (Check conversion here)
Outer Radius of Coaxial Cable: 18.91 Centimeter --> 0.1891 Meter (Check conversion here)
Inner Radius of Coaxial Cable: 0.25 Centimeter --> 0.0025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = μ/2*pi*ln(b_r/a_r) --> 2931/2*pi*ln(0.1891/0.0025)

Evaluating ... ...

L_c = 19916.8535127247

STEP 3: Convert Result to Output's Unit

19916.8535127247 Henry per Meter -->199.168535127247 Henry per Centimeter (Check conversion here)

FINAL ANSWER

199.168535127247 ≈ 199.1685 Henry per Centimeter <-- Inductance per unit length of Coaxial Cable

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

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< 12 Guided Waves in Field Theory Calculators

Characteristic Impedance of Line

Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)

Total Resistance of Coaxial Cable

Go Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)

Inductance per unit Length of Coaxial Cable

Go Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Conductance of Coaxial Cable

Go Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Radian Cutoff Angular Frequency

Go Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)

Inner Resistance of Coaxial Cable

Go Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)

Outer Resistance of Coaxial Cable

Go Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)

Inductance between Conductors

Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)

Magnitude of Wavevector

Go Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)

Skin Effect Resistivity

Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)

Cutoff Wavelength

Go Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number

Phase Velocity in Microstrip Line

Go Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

Inductance per unit Length of Coaxial Cable Formula

Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
L_c = μ/2*pi*ln(b_r/a_r)

How does external inductance of a coaxial cable change with variations in its inner and outer radii?

The external inductance increases with a larger ratio of outer to inner radii . This indicates enhanced magnetic energy storage externally, emphasizing the influence of geometric dimensions on the cable's inductance. Conversely, smaller radii ratios lead to reduced external inductance.

How to Calculate Inductance per unit Length of Coaxial Cable?

Inductance per unit Length of Coaxial Cable calculator uses Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable) to calculate the Inductance per unit length of Coaxial Cable, The Inductance per unit Length of Coaxial Cable This formula is used in electromagnetic theory to quantify the external inductance, a measure of the cable's ability to store magnetic energy externally due to the current flowing through it. Inductance per unit length of Coaxial Cable is denoted by L_c symbol.

How to calculate Inductance per unit Length of Coaxial Cable using this online calculator? To use this online calculator for Inductance per unit Length of Coaxial Cable, enter Magnetic Permeability (μ), Outer Radius of Coaxial Cable (b_r) & Inner Radius of Coaxial Cable (a_r) and hit the calculate button. Here is how the Inductance per unit Length of Coaxial Cable calculation can be explained with given input values -> 1.991685 = 2931/2*pi*ln(0.1891/0.0025).

FAQ

What is Inductance per unit Length of Coaxial Cable?

The Inductance per unit Length of Coaxial Cable This formula is used in electromagnetic theory to quantify the external inductance, a measure of the cable's ability to store magnetic energy externally due to the current flowing through it and is represented as L_c = μ/2*pi*ln(b_r/a_r) or Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). 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, Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable & Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.

How to calculate Inductance per unit Length of Coaxial Cable?

The Inductance per unit Length of Coaxial Cable This formula is used in electromagnetic theory to quantify the external inductance, a measure of the cable's ability to store magnetic energy externally due to the current flowing through it is calculated using Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). To calculate Inductance per unit Length of Coaxial Cable, you need Magnetic Permeability (μ), Outer Radius of Coaxial Cable (b_r) & Inner Radius of Coaxial Cable (a_r). With our tool, you need to enter the respective value for Magnetic Permeability, Outer Radius of Coaxial Cable & Inner Radius of Coaxial Cable 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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