Temperature Dependence of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric 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
Electric Resistance - (Measured in Ohm) - Electric resistance is the opposition to the flow of an electric current and is measured in ohms, representing how much a material hinders electric current flow.
Resistance at Reference Temperature - (Measured in Ohm) - Resistance at Reference Temperature is the opposition to the flow of electric current in a conductor at a specified reference temperature.
Temperature Coefficient of Resistance - (Measured in Per Kelvin) - Temperature Coefficient of Resistance is a measure of change in electrical resistance of a conductor per unit change in temperature.
Change in Temperature - (Measured in Kelvin) - Change in Temperature is the difference in temperature of a conductor when an electric current flows through it, affecting its resistance.
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: 2.13 Per Degree Celsius --> 2.13 Per Kelvin (Check conversion ​here)
Change in Temperature: 2.35 Kelvin --> 2.35 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Rref*(1+α*∆T) --> 2.5*(1+2.13*2.35)
Evaluating ... ...
R = 15.01375
STEP 3: Convert Result to Output's Unit
15.01375 Ohm --> No Conversion Required
FINAL ANSWER
15.01375 Ohm <-- Electric Resistance
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Temperature Dependence of Resistance Formula

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

What is temperature?

Temperature is a measure of the thermal energy of a system, reflecting how hot or cold it is. It indicates the average kinetic energy of the particles in a substance. Temperature affects various physical properties and processes, such as expansion, contraction, and phase changes.

How to Calculate Temperature Dependence of Resistance?

Temperature Dependence of Resistance calculator uses Electric Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature) to calculate the Electric Resistance, Temperature Dependence of Resistance formula is defined as a mathematical representation of how the resistance of a material changes in response to variations in temperature, providing a way to calculate the resistance at a given temperature based on a reference resistance and a temperature coefficient. Electric 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 -> 215.5 = 2.5*(1+2.13*2.35).

FAQ

What is Temperature Dependence of Resistance?
Temperature Dependence of Resistance formula is defined as a mathematical representation of how the resistance of a material changes in response to variations in temperature, providing a way to calculate the resistance at a given temperature based on a reference resistance and a temperature coefficient and is represented as R = Rref*(1+α*∆T) or Electric Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature). Resistance at Reference Temperature is the opposition to the flow of electric current in a conductor at a specified reference temperature, Temperature Coefficient of Resistance is a measure of change in electrical resistance of a conductor per unit change in temperature & Change in Temperature is the difference in temperature of a conductor when an electric current flows through it, affecting its resistance.
How to calculate Temperature Dependence of Resistance?
Temperature Dependence of Resistance formula is defined as a mathematical representation of how the resistance of a material changes in response to variations in temperature, providing a way to calculate the resistance at a given temperature based on a reference resistance and a temperature coefficient is calculated using Electric 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 Electric Resistance?
In this formula, Electric Resistance uses Resistance at Reference Temperature, Temperature Coefficient of Resistance & Change in Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Electric Resistance = (Resistivity*Length of Conductor)/Cross-Sectional Area
  • Electric Resistance = Resistivity*Wire Length/Cross-Sectional Area of Wire
  • Electric Resistance = (Final Resistance*Wire Length^2)/((Final Length of Wire)^2)
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