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)
Lc = μ/2*pi*ln(br/ar)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
ln - Natural logarithm function (base e), 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
Lc = μ/2*pi*ln(br/ar) --> 2931/2*pi*ln(0.1891/0.0025)
Evaluating ... ...
Lc = 19916.8535127247
STEP 3: Convert Result to Output's Unit
19916.8535127247 Henry per Meter -->199.168535127247 Henry per Centimeter (Check conversion here)
199.168535127247 199.1685 Henry per Centimeter <-- Inductance per unit length of Coaxial Cable
(Calculation completed in 00.004 seconds)
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< 12 Guided Waves in Field Theory Calculators

Characteristic Impedance of Line
Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Total Resistance of Coaxial Cable
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
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
Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)
Inner Resistance of Coaxial Cable
Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)
Outer Resistance of Coaxial Cable
Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)
Inductance between Conductors
Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)
Magnitude of Wavevector
Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)
Skin Effect Resistivity
Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)
Cutoff Wavelength
Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
Phase Velocity in Microstrip Line
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)
Lc = μ/2*pi*ln(br/ar)

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 Lc 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 (br) & Inner Radius of Coaxial Cable (ar) 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 Lc = μ/2*pi*ln(br/ar) 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 (br) & Inner Radius of Coaxial Cable (ar). 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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