Inductance between Conductors 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%
✖Plate Distance typically refers to the separation between the conductive elements.ⓘ Plate Distance [p_d]			+10% -10%
✖Plate Width represents the width of the conductive elements in the transmission line.ⓘ Plate Width [p_b]			+10% -10%

✖Conductor Inductance is the property where current in one conductor induces voltage in a nearby one, crucial in electrical systems.ⓘ Inductance between Conductors [L]

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Inductance between Conductors

Formula

`"L" = "μ"*pi*10^-7*"p"_{"d"}/("p"_{"b"})`

Example

`"0.97743mH"="29.31H/cm"*pi*10^-7*"21.23cm"/("20cm")`

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Inductance between Conductors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)
L = μ*pi*10^-7*p_d/(p_b)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Conductor Inductance - (Measured in Henry) - Conductor Inductance is the property where current in one conductor induces voltage in a nearby one, crucial in electrical systems.
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.
Plate Distance - (Measured in Meter) - Plate Distance typically refers to the separation between the conductive elements.
Plate Width - (Measured in Meter) - Plate Width represents the width of the conductive elements in the transmission line.

STEP 1: Convert Input(s) to Base Unit

Magnetic Permeability: 29.31 Henry per Centimeter --> 2931 Henry per Meter (Check conversion here)
Plate Distance: 21.23 Centimeter --> 0.2123 Meter (Check conversion here)
Plate Width: 20 Centimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = μ*pi*10^-7*p_d/(p_b) --> 2931*pi*10^-7*0.2123/(0.2)

Evaluating ... ...

L = 0.000977430056383349

STEP 3: Convert Result to Output's Unit

0.000977430056383349 Henry -->0.977430056383349 Millihenry (Check conversion here)

FINAL ANSWER

0.977430056383349 ≈ 0.97743 Millihenry <-- Conductor Inductance

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

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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 between Conductors Formula

Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)
L = μ*pi*10^-7*p_d/(p_b)

How does inductance change with increased plate distance?

As the distance between conductors increases, the inductance decreases. This is because a larger separation weakens the magnetic field coupling between the conductors, diminishing the ability of the structure to store energy in a magnetic field.

How to Calculate Inductance between Conductors?

Inductance between Conductors calculator uses Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width) to calculate the Conductor Inductance, The Inductance between Conductors the formula expresses the inductance per unit length between conductors in a transmission line. Conductor Inductance is denoted by L symbol.

How to calculate Inductance between Conductors using this online calculator? To use this online calculator for Inductance between Conductors, enter Magnetic Permeability (μ), Plate Distance (p_d) & Plate Width (p_b) and hit the calculate button. Here is how the Inductance between Conductors calculation can be explained with given input values -> 977.8905 = 2931*pi*10^-7*0.2123/(0.2).

FAQ

What is Inductance between Conductors?

The Inductance between Conductors the formula expresses the inductance per unit length between conductors in a transmission line and is represented as L = μ*pi*10^-7*p_d/(p_b) or Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width). 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, Plate Distance typically refers to the separation between the conductive elements & Plate Width represents the width of the conductive elements in the transmission line.

How to calculate Inductance between Conductors?

The Inductance between Conductors the formula expresses the inductance per unit length between conductors in a transmission line is calculated using Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width). To calculate Inductance between Conductors, you need Magnetic Permeability (μ), Plate Distance (p_d) & Plate Width (p_b). With our tool, you need to enter the respective value for Magnetic Permeability, Plate Distance & Plate Width 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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