Resistivity of Material Calculator

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Voltage and Current Measuring Instruments

✖Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume.ⓘ Number of Free Charge Particles per Unit Volume [n]			+10% -10%
✖Relaxation time is the time in which the particle does not collide with any other particle.ⓘ Relaxation time [𝛕]			+10% -10%

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity of Material [ρ]

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Formula

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Resistivity of Material

Formula

`"ρ" = (2*"[Mass-e]")/("n"*"[Charge-e]"^2*"𝛕")`

Example

`"2E^11Ω*mm"=(2*"[Mass-e]")/("7"*"[Charge-e]"^2*"0.05s")`

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Resistivity of Material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time)
ρ = (2*[Mass-e])/(n*[Charge-e]^2*𝛕)
This formula uses 2 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31

Variables Used

Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Number of Free Charge Particles per Unit Volume - Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume.
Relaxation time - (Measured in Second) - Relaxation time is the time in which the particle does not collide with any other particle.

STEP 1: Convert Input(s) to Base Unit

Number of Free Charge Particles per Unit Volume: 7 --> No Conversion Required
Relaxation time: 0.05 Second --> 0.05 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (2*[Mass-e])/(n*[Charge-e]^2*𝛕) --> (2*[Mass-e])/(7*[Charge-e]^2*0.05)

Evaluating ... ...

ρ = 202782354.025008

STEP 3: Convert Result to Output's Unit

202782354.025008 Ohm Meter -->202782354025.008 Ohm Millimeter (Check conversion here)

FINAL ANSWER

202782354025.008 ≈ 2E+11 Ohm Millimeter <-- Resistivity

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 8 Resistance Calculators

Temperature Dependence of Resistance

Go Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature)

Resistivity of Material

Go Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time)

Internal Resistance using Potentiometer

Go Resistance = (Length-Final Length)/Final Length*Final Resistance

Resistance

Go Resistance = (Resistivity*Length of Conductor)/Cross-Sectional Area

Resistance on Stretching of Wire

Go Resistance = (Final Resistance*Length^2)/((Final Length)^2)

Resistance of Wire

Go Resistance = Resistivity*Length/Cross-Sectional Area

Equivalent Resistance in Parallel

Go Equivalent Resistance = (1/Resistance+1/Final Resistance)^(-1)

Equivalent Resistance in Series

Go Equivalent Resistance = Resistance+Final Resistance

Resistivity of Material Formula

Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time)
ρ = (2*[Mass-e])/(n*[Charge-e]^2*𝛕)

How is electrical resistivity calculated?

Resistivity is a characteristic property of each material. It is calculated through the formula
ρ= 2m/ne²
𝜏.Its S.I unit is ohm-meter (Ω - m).

How to Calculate Resistivity of Material?

Resistivity of Material calculator uses Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time) to calculate the Resistivity, The Resistivity of Material is the electrical resistance of a conductor of unit cross-sectional area, and unit length. Resistivity is denoted by ρ symbol.

How to calculate Resistivity of Material using this online calculator? To use this online calculator for Resistivity of Material, enter Number of Free Charge Particles per Unit Volume (n) & Relaxation time (𝛕) and hit the calculate button. Here is how the Resistivity of Material calculation can be explained with given input values -> 2E+14 = (2*[Mass-e])/(7*[Charge-e]^2*0.05).

FAQ

What is Resistivity of Material?

The Resistivity of Material is the electrical resistance of a conductor of unit cross-sectional area, and unit length and is represented as ρ = (2*[Mass-e])/(n*[Charge-e]^2*𝛕) or Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time). Number of Free Charge Particles per Unit Volume is the amount of free charges moving in the conductor when current is applies per unit volume & Relaxation time is the time in which the particle does not collide with any other particle.

How to calculate Resistivity of Material?

The Resistivity of Material is the electrical resistance of a conductor of unit cross-sectional area, and unit length is calculated using Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time). To calculate Resistivity of Material, you need Number of Free Charge Particles per Unit Volume (n) & Relaxation time (𝛕). With our tool, you need to enter the respective value for Number of Free Charge Particles per Unit Volume & Relaxation time 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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