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Resistivity of Material Formula

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Resistivity of Material is a measure of how strongly a material opposes the flow of electric current, dependent on the material's properties and temperature. Check FAQs

ρ material = \frac{2 \cdot [Mass-e]}{n \cdot {[Charge-e]}^{2} \cdot 𝛕}

ρ_material - Resistivity of Material?n - Number of Free Charge Particles per Unit Volume?𝛕 - Relaxation Time?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?

Resistivity of Material Example

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Here is how the Resistivity of Material equation looks like with Values.

Here is how the Resistivity of Material equation looks like with Units.

Here is how the Resistivity of Material equation looks like.

393.2068 = \frac{2 \cdot 9.1E-31}{3.6E+9 \cdot {1.6E-19}^{2} \cdot 0.05}

393.2068Ω*mm = \frac{2 \cdot 9.1E-31kg}{3.6E+9 \cdot {1.6E-19C}^{2} \cdot 0.05s}

393.2068 = \frac{2 \cdot 9.1E-31}{3.6E+9 \cdot {1.6E-19}^{2} \cdot 0.05}

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Resistivity of Material Solution

Follow our step by step solution on how to calculate Resistivity of Material?

FIRST Step Consider the formula

ρ material = \frac{2 \cdot [Mass-e]}{n \cdot {[Charge-e]}^{2} \cdot 𝛕}

Next Step Substitute values of Variables

∴

ρ material = \frac{2 \cdot [Mass-e]}{3.6E+9 \cdot {[Charge-e]}^{2} \cdot 0.05s}

Next Step Substitute values of Constants

∴

ρ material = \frac{2 \cdot 9.1E-31kg}{3.6E+9 \cdot {1.6E-19C}^{2} \cdot 0.05s}

Next Step Prepare to Evaluate

∴

ρ material = \frac{2 \cdot 9.1E-31}{3.6E+9 \cdot {1.6E-19}^{2} \cdot 0.05}

Next Step Evaluate

∴

ρ material = 0.393206780657911Ω*m

Next Step Convert to Output's Unit

∴

ρ material = 393.206780657911Ω*mm

LAST Step Rounding Answer

∴

ρ material = 393.2068Ω*mm

Resistivity of Material Formula Elements

Variables

Constants

Resistivity of Material

Resistivity of Material is a measure of how strongly a material opposes the flow of electric current, dependent on the material's properties and temperature.

Symbol: ρ_material

Measurement: Electric ResistivityUnit: Ω*mm

Note: Value can be positive or negative.

Formulas to find Resistivity of Material

Number of Free Charge Particles per Unit Volume

Number of Free Charge Particles per Unit Volume is the quantity of free charge carriers available per unit volume of a conductor.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Free Charge Particles per Unit Volume

Relaxation Time

Relaxation time is the time taken by the current in a circuit to decay to a certain fraction of its initial value.

Symbol: 𝛕

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Relaxation Time

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

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 Resistance category

Go Equivalent Resistance in Parallel

R eq,parallel = {(\frac{1}{R} + \frac{1}{Ω})}^{- 1}

Go Internal Resistance using Potentiometer

r = \frac{L - l 2}{l 2} \cdot Ω

Go Resistance

R = \frac{ρ \cdot L conductor}{A}

Go Resistance of Wire

R = ρ \cdot \frac{L wire}{A wire}

How to Evaluate Resistivity of Material?

Resistivity of Material evaluator uses Resistivity of Material = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation Time) to evaluate the Resistivity of Material, Resistivity of Material formula is defined as a measure of how strongly a material opposes the flow of electric current, determining how easily electric charge can move through it, and is a fundamental property of a material that depends on its intrinsic characteristics. Resistivity of Material is denoted by ρ_material symbol.

How to evaluate Resistivity of Material using this online evaluator? To use this online evaluator for Resistivity of Material, enter Number of Free Charge Particles per Unit Volume (n) & Relaxation Time (𝛕) and hit the calculate button.

FAQs on Resistivity of Material

What is the formula to find Resistivity of Material?

The formula of Resistivity of Material is expressed as Resistivity of Material = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation Time). Here is an example- 0.393207 = (2*[Mass-e])/(3610000000*[Charge-e]^2*0.05).

How to calculate Resistivity of Material?

With Number of Free Charge Particles per Unit Volume (n) & Relaxation Time (𝛕) we can find Resistivity of Material using the formula - Resistivity of Material = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation Time). This formula also uses Mass of electron, Charge of electron constant(s).

Can the Resistivity of Material be negative?

Yes, the Resistivity of Material, measured in Electric Resistivity can be negative.

Which unit is used to measure Resistivity of Material?

Resistivity of Material is usually measured using the Ohm Millimeter[Ω*mm] for Electric Resistivity. Ohm Meter[Ω*mm], Ohm Centimeter[Ω*mm], Ohm Inch[Ω*mm] are the few other units in which Resistivity of Material can be measured.

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