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Inner Resistance of Coaxial Cable Formula

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Inner Resistance of Coaxial Cable is a measure of the opposition that the inner conductor of the coaxial cable presents to the flow of electric current. Check FAQs

R in = \frac{1}{2 \cdot π \cdot a r \cdot δ \cdot σ c}

R_in - Inner Resistance of Coaxial Cable?a_r - Inner Radius of Coaxial Cable?δ - Skin Depth?σ_c - Electrical Conductivity?π - Archimedes' constant?

Inner Resistance of Coaxial Cable Example

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Here is how the Inner Resistance of Coaxial Cable equation looks like with Values.

Here is how the Inner Resistance of Coaxial Cable equation looks like with Units.

Here is how the Inner Resistance of Coaxial Cable equation looks like.

7.9182 = \frac{1}{2 \cdot 3.1416 \cdot 0.25 \cdot 20.1 \cdot 0.4}

7.9182Ω = \frac{1}{2 \cdot 3.1416 \cdot 0.25cm \cdot 20.1cm \cdot 0.4S/cm}

7.9182 = \frac{1}{2 \cdot 3.1416 \cdot 0.25 \cdot 20.1 \cdot 0.4}

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Inner Resistance of Coaxial Cable Solution

Follow our step by step solution on how to calculate Inner Resistance of Coaxial Cable?

FIRST Step Consider the formula

R in = \frac{1}{2 \cdot π \cdot a r \cdot δ \cdot σ c}

Next Step Substitute values of Variables

∴

R in = \frac{1}{2 \cdot π \cdot 0.25cm \cdot 20.1cm \cdot 0.4S/cm}

Next Step Substitute values of Constants

∴

R in = \frac{1}{2 \cdot 3.1416 \cdot 0.25cm \cdot 20.1cm \cdot 0.4S/cm}

Next Step Convert Units

∴

R in = \frac{1}{2 \cdot 3.1416 \cdot 0.0025m \cdot 0.201m \cdot 40S/m}

Next Step Prepare to Evaluate

∴

R in = \frac{1}{2 \cdot 3.1416 \cdot 0.0025 \cdot 0.201 \cdot 40}

Next Step Evaluate

∴

R in = 7.91815637273111Ω

LAST Step Rounding Answer

∴

R in = 7.9182Ω

Inner Resistance of Coaxial Cable Formula Elements

Variables

Constants

Inner Resistance of Coaxial Cable

Inner Resistance of Coaxial Cable is a measure of the opposition that the inner conductor of the coaxial cable presents to the flow of electric current.

Symbol: R_in

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Inner Resistance 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

Skin Depth

Skin depth is a measure of how deeply a current penetrates into a conductor.

Symbol: δ

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Skin Depth

Electrical Conductivity

Electrical Conductivity is a measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistivity.

Symbol: σ_c

Measurement: Electric ConductivityUnit: S/cm

Note: Value should be greater than 0.

Formulas to find Electrical Conductivity

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

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 Inner Resistance of Coaxial Cable?

Inner Resistance of Coaxial Cable evaluator uses Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity) to evaluate the Inner Resistance of Coaxial Cable, Inner Resistance of Coaxial Cable refers to the resistance encountered by the electrical current flowing through the central conductor, influenced by its material, dimensions, and temperature. Inner Resistance of Coaxial Cable is denoted by R_in symbol.

How to evaluate Inner Resistance of Coaxial Cable using this online evaluator? To use this online evaluator for Inner Resistance of Coaxial Cable, enter Inner Radius of Coaxial Cable (a_r), Skin Depth (δ) & Electrical Conductivity (σ_c) and hit the calculate button.

FAQs on Inner Resistance of Coaxial Cable

What is the formula to find Inner Resistance of Coaxial Cable?

The formula of Inner Resistance of Coaxial Cable is expressed as Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity). Here is an example- 7.918156 = 1/(2*pi*0.0025*0.201*40).

How to calculate Inner Resistance of Coaxial Cable?

With Inner Radius of Coaxial Cable (a_r), Skin Depth (δ) & Electrical Conductivity (σ_c) we can find Inner Resistance of Coaxial Cable using the formula - Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity). This formula also uses Archimedes' constant .

Can the Inner Resistance of Coaxial Cable be negative?

No, the Inner Resistance of Coaxial Cable, measured in Electric Resistance cannot be negative.

Which unit is used to measure Inner Resistance of Coaxial Cable?

Inner Resistance of Coaxial Cable is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Inner Resistance of Coaxial Cable can be measured.

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Inner Resistance of Coaxial Cable Formula

Inner Resistance of Coaxial Cable Example

Inner Resistance of Coaxial Cable Solution

Inner Resistance of Coaxial Cable Formula Elements

Other formulas in Electrowave Dynamics category

How to Evaluate Inner Resistance of Coaxial Cable?

FAQs on Inner Resistance of Coaxial Cable

Variable Name