Conductivity in Metals Calculator

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Charge Carrier Characteristics

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✖Electron Concentration is defined as the concentration of electrons with respect to the volume.ⓘ Electron Concentration [N_e]			+10% -10%
✖Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.ⓘ Mobility of Electron [μ_n]			+10% -10%

✖Conductivity is the measure of the ease at which an electric charge or heat can pass through a material. It is the reciprocal of resistivity.ⓘ Conductivity in Metals [σ]

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Formula

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Conductivity in Metals

Formula

`"σ" = "N"_{"e"}*"[Charge-e]"*"μ"_{"n"}`

Example

`"0.865175S/m"="3e16/m³"*"[Charge-e]"*"180m²/V*s"`

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Conductivity in Metals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron
σ = N_e*[Charge-e]*μ_n
This formula uses 1 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

Variables Used

Conductivity - (Measured in Siemens per Meter) - Conductivity is the measure of the ease at which an electric charge or heat can pass through a material. It is the reciprocal of resistivity.
Electron Concentration - (Measured in 1 per Cubic Meter) - Electron Concentration is defined as the concentration of electrons with respect to the volume.
Mobility of Electron - (Measured in Square Meter per Volt per Second) - Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.

STEP 1: Convert Input(s) to Base Unit

Electron Concentration: 3E+16 1 per Cubic Meter --> 3E+16 1 per Cubic Meter No Conversion Required
Mobility of Electron: 180 Square Meter per Volt per Second --> 180 Square Meter per Volt per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = N_e*[Charge-e]*μ_n --> 3E+16*[Charge-e]*180

Evaluating ... ...

σ = 0.8651753748

STEP 3: Convert Result to Output's Unit

0.8651753748 Siemens per Meter --> No Conversion Required

FINAL ANSWER

0.8651753748 ≈ 0.865175 Siemens per Meter <-- Conductivity

(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

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< 16 Charge Carrier Characteristics Calculators

Intrinsic Concentration

Go Intrinsic Carrier Concentration = sqrt(Effective Density in Valence Band*Effective Density in Conduction Band)*e^((-Temperature Dependence of Energy Band Gap)/(2*[BoltZ]*Temperature))

Electrostatic Deflection Sensitivity of CRT

Go Electrostatic Deflection Sensitivity = (Distance between Deflecting Plates*Screen and Deflecting Plates Distance)/(2*Deflection of Beam*Electron Velocity)

Current Density due to Electrons

Go Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity

Current Density due to Holes

Go Holes Current Density = [Charge-e]*Holes Concentration*Mobility of Holes*Electric Field Intensity

Electrons Diffusion Constant

Go Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])

Holes Diffusion Constant

Go Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e])

Intrinsic Carrier Concentration under Non-Equilibrium Conditions

Go Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration)

Force on Current Element in Magnetic Field

Go Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)

Velocity of Electron

Go Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])

Time Period of Electron

Go Period of Particle Circular Path = (2*3.14*[Mass-e])/(Magnetic Field Strength*[Charge-e])

Hole Diffusion Length

Go Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)

Conductivity in Metals

Go Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron

Velocity of Electron in Force Fields

Go Velocity of Electron in Force Fields = Electric Field Intensity/Magnetic Field Strength

Thermal Voltage

Go Thermal Voltage = [BoltZ]*Temperature/[Charge-e]

Thermal Voltage using Einstein's Equation

Go Thermal Voltage = Electron Diffusion Constant/Mobility of Electron

Convection Current Density

Go Convection Current Density = Charge Density*Charge Velocity

Conductivity in Metals Formula

Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron
σ = N_e*[Charge-e]*μ_n

What is electrical conductivity in metals?

Electrical conductivity in metals is a result of the movement of electrically charged particles. The atoms of metal elements are characterized by the presence of valence electrons, which are electrons in the outer shell of an atom that are free to move about. It is these "free electrons" that allow metals to conduct an electric current.

Because valence electrons are free to move, they can travel through the lattice that forms the physical structure of a metal. Under an electric field, free electrons move through the metal much like billiard balls knocking against each other, passing an electric charge as they move.

How to Calculate Conductivity in Metals?

Conductivity in Metals calculator uses Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron to calculate the Conductivity, Conductivity in metals refers to the material's ability to conduct electric current. It is a fundamental property of metals and is a result of the presence of free electrons that can move easily throughout the material. Conductivity is denoted by σ symbol.

How to calculate Conductivity in Metals using this online calculator? To use this online calculator for Conductivity in Metals, enter Electron Concentration (N_e) & Mobility of Electron (μ_n) and hit the calculate button. Here is how the Conductivity in Metals calculation can be explained with given input values -> 0.865175 = 3E+16*[Charge-e]*180.

FAQ

What is Conductivity in Metals?

Conductivity in metals refers to the material's ability to conduct electric current. It is a fundamental property of metals and is a result of the presence of free electrons that can move easily throughout the material and is represented as σ = N_e*[Charge-e]*μ_n or Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron. Electron Concentration is defined as the concentration of electrons with respect to the volume & Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.

How to calculate Conductivity in Metals?

Conductivity in metals refers to the material's ability to conduct electric current. It is a fundamental property of metals and is a result of the presence of free electrons that can move easily throughout the material is calculated using Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron. To calculate Conductivity in Metals, you need Electron Concentration (N_e) & Mobility of Electron (μ_n). With our tool, you need to enter the respective value for Electron Concentration & Mobility of Electron 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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