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Inductance per unit Length of Coaxial Cable Formula

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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. Check FAQs

L c = \frac{μ}{2} \cdot π \cdot \ln (\frac{b r}{a r})

L_c - Inductance per unit Length of Coaxial Cable?μ - Magnetic Permeability?b_r - Outer Radius of Coaxial Cable?a_r - Inner Radius of Coaxial Cable?π - Archimedes' constant?

Inductance per unit Length of Coaxial Cable Example

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Here is how the Inductance per unit Length of Coaxial Cable equation looks like with Values.

Here is how the Inductance per unit Length of Coaxial Cable equation looks like with Units.

Here is how the Inductance per unit Length of Coaxial Cable equation looks like.

199.1685 = \frac{29.31}{2} \cdot 3.1416 \cdot \ln (\frac{18.91}{0.25})

199.1685H/cm = \frac{29.31H/cm}{2} \cdot 3.1416 \cdot \ln (\frac{18.91cm}{0.25cm})

199.1685 = \frac{29.31}{2} \cdot 3.1416 \cdot \ln (\frac{18.91}{0.25})

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Inductance per unit Length of Coaxial Cable Solution

Follow our step by step solution on how to calculate Inductance per unit Length of Coaxial Cable?

FIRST Step Consider the formula

L c = \frac{μ}{2} \cdot π \cdot \ln (\frac{b r}{a r})

Next Step Substitute values of Variables

∴

L c = \frac{29.31H/cm}{2} \cdot π \cdot \ln (\frac{18.91cm}{0.25cm})

Next Step Substitute values of Constants

∴

L c = \frac{29.31H/cm}{2} \cdot 3.1416 \cdot \ln (\frac{18.91cm}{0.25cm})

Next Step Convert Units

∴

L c = \frac{2931H/m}{2} \cdot 3.1416 \cdot \ln (\frac{0.1891m}{0.0025m})

Next Step Prepare to Evaluate

∴

L c = \frac{2931}{2} \cdot 3.1416 \cdot \ln (\frac{0.1891}{0.0025})

Next Step Evaluate

∴

L c = 19916.8535127247H/m

Next Step Convert to Output's Unit

∴

L c = 199.168535127247H/cm

LAST Step Rounding Answer

∴

L c = 199.1685H/cm

Inductance per unit Length of Coaxial Cable Formula Elements

Variables

Constants

Functions

Inductance per unit Length of Coaxial Cable

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.

Symbol: L_c

Measurement: Magnetic PermeabilityUnit: H/cm

Note: Value should be greater than 0.

Formulas to find Inductance per unit Length of Coaxial Cable

Magnetic Permeability

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.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/cm

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability

Outer Radius of Coaxial Cable

Outer Radius of Coaxial Cable is the distance from the center to the outer edge of the coaxial cable.

Symbol: b_r

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Coaxial Cable

Inner Radius of Coaxial Cable

Inner Radius of Coaxial Cable is the distance from the center to the inner edge of the coaxial cable.

Symbol: a_r

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Coaxial Cable

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Electrowave Dynamics category

Go Inductance between Conductors

L = μ \cdot π \cdot 10^{- 7} \cdot \frac{p d}{p b}

Go Skin Effect Resistivity

R s = \frac{2}{σ c \cdot δ \cdot p b}

Go Characteristic Impedance of Line

Z o = \sqrt{μ \cdot π \cdot \frac{10^{- 7}}{∈'}} \cdot (\frac{p d}{p b})

Go Conductance of Coaxial Cable

G c = \frac{2 \cdot π \cdot σ c}{\ln (\frac{b r}{a r})}

How to Evaluate Inductance per unit Length of Coaxial Cable?

Inductance per unit Length of Coaxial Cable evaluator uses Inductance per unit Length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable) to evaluate the Inductance per unit Length of Coaxial Cable, Inductance per unit Length of Coaxial Cable is a measure of the cable's ability to store magnetic energy in the space between its inner and outer conductors, influencing its impedance characteristics. Inductance per unit Length of Coaxial Cable is denoted by L_c symbol.

How to evaluate Inductance per unit Length of Coaxial Cable using this online evaluator? To use this online evaluator 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.

FAQs on Inductance per unit Length of Coaxial Cable

What is the formula to find Inductance per unit Length of Coaxial Cable?

The formula of Inductance per unit Length of Coaxial Cable is expressed as Inductance per unit Length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). Here is an example- 1.991685 = 2931/2*pi*ln(0.1891/0.0025).

How to calculate Inductance per unit Length of Coaxial Cable?

With Magnetic Permeability (μ), Outer Radius of Coaxial Cable (b_r) & Inner Radius of Coaxial Cable (a_r) we can find Inductance per unit Length of Coaxial Cable using the formula - Inductance per unit Length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Inductance per unit Length of Coaxial Cable be negative?

No, the Inductance per unit Length of Coaxial Cable, measured in Magnetic Permeability cannot be negative.

Which unit is used to measure Inductance per unit Length of Coaxial Cable?

Inductance per unit Length of Coaxial Cable is usually measured using the Henry per Centimeter[H/cm] for Magnetic Permeability. Henry per Meter[H/cm], Henry per Kilometer[H/cm] are the few other units in which Inductance per unit Length of Coaxial Cable can be measured.

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Inductance per unit Length of Coaxial Cable Formula

Inductance per unit Length of Coaxial Cable Example

Inductance per unit Length of Coaxial Cable Solution

Inductance per unit Length of Coaxial Cable Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Inductance per unit Length of Coaxial Cable?

FAQs on Inductance per unit Length of Coaxial Cable

Variable Name