Current Density due to Electrons Calculator

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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%
✖Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.ⓘ Electric Field Intensity [E]			+10% -10%

✖Electron Current Density is defined as the amount of electric current due to electron traveling per unit cross-section area. It is called as current density and expressed in amperes per square meter.ⓘ Current Density due to Electrons [J_n]

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Formula

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Current Density due to Electrons

Formula

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

Example

`"2.965821A/m²"="[Charge-e]"*"3e16/m³"*"180m²/V*s"*"3.428V/m"`

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Current Density due to Electrons Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity
J_n = [Charge-e]*N_e*μ_n*E
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Electron Current Density - (Measured in Ampere per Square Meter) - Electron Current Density is defined as the amount of electric current due to electron traveling per unit cross-section area. It is called as current density and expressed in amperes per square meter.
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.
Electric Field Intensity - (Measured in Volt per Meter) - Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

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
Electric Field Intensity: 3.428 Volt per Meter --> 3.428 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_n = [Charge-e]*N_e*μ_n*E --> [Charge-e]*3E+16*180*3.428

Evaluating ... ...

J_n = 2.9658211848144

STEP 3: Convert Result to Output's Unit

2.9658211848144 Ampere per Square Meter --> No Conversion Required

FINAL ANSWER

2.9658211848144 ≈ 2.965821 Ampere per Square Meter <-- Electron Current Density

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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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

Current Density due to Electrons Formula

Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity
J_n = [Charge-e]*N_e*μ_n*E

How is current density in electrons different from the current density in holes?

The key difference lies in the charge carriers being considered: electrons for electron current density and holes for hole current density. While the mathematical expressions are similar, they involve different carrier properties (mobility and concentration) and have opposite charge polarities.

How to Calculate Current Density due to Electrons?

Current Density due to Electrons calculator uses Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity to calculate the Electron Current Density, Current density due to electrons refers to the measure of the flow of electric current carried by electrons through a given area. It quantifies the rate at which electrons move past a unit cross-sectional area perpendicular to their motion and is expressed in units of amperes per square meter (A/m²). Electron Current Density is denoted by J_n symbol.

How to calculate Current Density due to Electrons using this online calculator? To use this online calculator for Current Density due to Electrons, enter Electron Concentration (N_e), Mobility of Electron (μ_n) & Electric Field Intensity (E) and hit the calculate button. Here is how the Current Density due to Electrons calculation can be explained with given input values -> 32.01149 = [Charge-e]*3E+16*180*3.428.

FAQ

What is Current Density due to Electrons?

Current density due to electrons refers to the measure of the flow of electric current carried by electrons through a given area. It quantifies the rate at which electrons move past a unit cross-sectional area perpendicular to their motion and is expressed in units of amperes per square meter (A/m²) and is represented as J_n = [Charge-e]*N_e*μ_n*E or Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity. 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 & Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

How to calculate Current Density due to Electrons?

Current density due to electrons refers to the measure of the flow of electric current carried by electrons through a given area. It quantifies the rate at which electrons move past a unit cross-sectional area perpendicular to their motion and is expressed in units of amperes per square meter (A/m²) is calculated using Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity. To calculate Current Density due to Electrons, you need Electron Concentration (N_e), Mobility of Electron (μ_n) & Electric Field Intensity (E). With our tool, you need to enter the respective value for Electron Concentration, Mobility of Electron & Electric Field Intensity 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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