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Current Density due to Electrons Formula

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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. Check FAQs

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

J_n - Electron Current Density?N_e - Electron Concentration?μ_n - Mobility of Electron?E_I - Electric Field Intensity?[Charge-e] - Charge of electron?

Current Density due to Electrons Example

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Here is how the Current Density due to Electrons equation looks like with Values.

Here is how the Current Density due to Electrons equation looks like with Units.

Here is how the Current Density due to Electrons equation looks like.

2.9658 = 1.6E-19 \cdot 3E+16 \cdot 180 \cdot 3.428

2.9658A/m² = 1.6E-19C \cdot 3E+161/m³ \cdot 180m²/V*s \cdot 3.428V/m

2.9658 = 1.6E-19 \cdot 3E+16 \cdot 180 \cdot 3.428

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Current Density due to Electrons Solution

Follow our step by step solution on how to calculate Current Density due to Electrons?

FIRST Step Consider the formula

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

Next Step Substitute values of Variables

∴

J n = [Charge-e] \cdot 3E+161/m³ \cdot 180m²/V*s \cdot 3.428V/m

Next Step Substitute values of Constants

∴

J n = 1.6E-19C \cdot 3E+161/m³ \cdot 180m²/V*s \cdot 3.428V/m

Next Step Prepare to Evaluate

∴

J n = 1.6E-19 \cdot 3E+16 \cdot 180 \cdot 3.428

Next Step Evaluate

∴

J n = 2.9658211848144A/m²

LAST Step Rounding Answer

∴

J n = 2.9658A/m²

Current Density due to Electrons Formula Elements

Variables

Constants

Electron Current Density

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.

Symbol: J_n

Measurement: Surface Current DensityUnit: A/m²

Note: Value should be greater than 0.

Formulas to find Electron Current Density

Electron Concentration

Electron Concentration is defined as the concentration of electrons with respect to the volume.

Symbol: N_e

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Electron Concentration

Mobility of Electron

Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.

Symbol: μ_n

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Mobility of Electron

Electric Field Intensity

Electric Field Intensity refers to the force per unit charge experienced by charged particles (such as electrons or holes) within the material.

Symbol: E_I

Measurement: Electric Field StrengthUnit: V/m

Note: Value should be greater than 0.

Formulas to find Electric Field Intensity

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other formulas in Charge Carrier Characteristics category

Go Electrons Diffusion Constant

D n = μ n \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Go Hole Diffusion Length

L p = \sqrt{D p \cdot τ p}

Go Current Density due to Holes

J p = [Charge-e] \cdot N p \cdot μ p \cdot E I

Go Conductivity in Metals

σ = N e \cdot [Charge-e] \cdot μ n

How to Evaluate Current Density due to Electrons?

Current Density due to Electrons evaluator uses Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity to evaluate 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 evaluate Current Density due to Electrons using this online evaluator? To use this online evaluator for Current Density due to Electrons, enter Electron Concentration (N_e), Mobility of Electron (μ_n) & Electric Field Intensity (E_I) and hit the calculate button.

FAQs on Current Density due to Electrons

What is the formula to find Current Density due to Electrons?

The formula of Current Density due to Electrons is expressed as Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity. Here is an example- 32.01149 = [Charge-e]*3E+16*180*3.428.

How to calculate Current Density due to Electrons?

With Electron Concentration (N_e), Mobility of Electron (μ_n) & Electric Field Intensity (E_I) we can find Current Density due to Electrons using the formula - Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity. This formula also uses Charge of electron constant(s).

Can the Current Density due to Electrons be negative?

No, the Current Density due to Electrons, measured in Surface Current Density cannot be negative.

Which unit is used to measure Current Density due to Electrons?

Current Density due to Electrons is usually measured using the Ampere per Square Meter[A/m²] for Surface Current Density. Ampere per Square Centimeter[A/m²], Ampere per Square Inch[A/m²], Ampere per Circular Mil[A/m²] are the few other units in which Current Density due to Electrons can be measured.

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Current Density due to Electrons Formula

Current Density due to Electrons Example

Current Density due to Electrons Solution

Current Density due to Electrons Formula Elements

Other formulas in Charge Carrier Characteristics category

How to Evaluate Current Density due to Electrons?

FAQs on Current Density due to Electrons

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