Temperature Dependence of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature)
R = Rref*(1+α*∆T)
This formula uses 4 Variables
Variables Used
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Resistance at Reference Temperature - (Measured in Ohm) - Resistance at Reference Temperature is the opposition offered to current flow in an electrical circuit.
Temperature Coefficient of Resistance - (Measured in Per Kelvin) - The Temperature Coefficient of Resistance is the resistance change per degree of temperature change.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
STEP 1: Convert Input(s) to Base Unit
Resistance at Reference Temperature: 2.5 Ohm --> 2.5 Ohm No Conversion Required
Temperature Coefficient of Resistance: 16 Per Degree Celsius --> 16 Per Kelvin (Check conversion here)
Change in Temperature: 40 Kelvin --> 40 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Rref*(1+α*∆T) --> 2.5*(1+16*40)
Evaluating ... ...
R = 1602.5
STEP 3: Convert Result to Output's Unit
1602.5 Ohm --> No Conversion Required
FINAL ANSWER
1602.5 Ohm <-- Resistance
(Calculation completed in 00.020 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

Temperature Dependence of Resistance Formula

Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature)
R = Rref*(1+α*∆T)

What are the properties of temperature dependence of resistance ?

Most conductive materials change specific resistance with changes in temperature. This is why figures of specific resistance are always specified at a standard temperature (usually 20° or 25° Celsius).
The resistance-change factor per degree Celsius of temperature change is called the temperature coefficient of resistance. This factor is represented by the Greek lower-case letter “alpha” (α).
A positive coefficient for a material means that its resistance increases with an increase in temperature. Pure metals typically have positive temperature coefficients of resistance. Coefficients approaching zero can be obtained by alloying certain metals.
A negative coefficient for a material means that its resistance decreases with an increase in temperature. Semiconductor materials (carbon, silicon, germanium) typically have negative temperature coefficients of resistance.

How to Calculate Temperature Dependence of Resistance?

Temperature Dependence of Resistance calculator uses Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature) to calculate the Resistance, The Temperature Dependence of Resistance formula is used to determine the resistance of a conductor at some temperature other than what is specified in a resistance table. Resistance is denoted by R symbol.

How to calculate Temperature Dependence of Resistance using this online calculator? To use this online calculator for Temperature Dependence of Resistance, enter Resistance at Reference Temperature (Rref), Temperature Coefficient of Resistance (α) & Change in Temperature (∆T) and hit the calculate button. Here is how the Temperature Dependence of Resistance calculation can be explained with given input values -> 1602.5 = 2.5*(1+16*40).

FAQ

What is Temperature Dependence of Resistance?
The Temperature Dependence of Resistance formula is used to determine the resistance of a conductor at some temperature other than what is specified in a resistance table and is represented as R = Rref*(1+α*∆T) or Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature). Resistance at Reference Temperature is the opposition offered to current flow in an electrical circuit, The Temperature Coefficient of Resistance is the resistance change per degree of temperature change & The Change in Temperature is the difference between the initial and final temperature.
How to calculate Temperature Dependence of Resistance?
The Temperature Dependence of Resistance formula is used to determine the resistance of a conductor at some temperature other than what is specified in a resistance table is calculated using Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature). To calculate Temperature Dependence of Resistance, you need Resistance at Reference Temperature (Rref), Temperature Coefficient of Resistance (α) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Resistance at Reference Temperature, Temperature Coefficient of Resistance & Change in Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Resistance?
In this formula, Resistance uses Resistance at Reference Temperature, Temperature Coefficient of Resistance & Change in Temperature. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Resistance = (Length-Final Length)/Final Length*Final Resistance
  • Resistance = (Resistivity*Length of Conductor)/Cross-Sectional Area
  • Resistance = Resistivity*Length/Cross-Sectional Area
  • Resistance = (Final Resistance*Length^2)/((Final Length)^2)
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