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Change the answer mode for this tool by selecting start temperature (T_{0}), end temperature (T_{1}), temperature coefficient of resistance (α_{R}), start resistance (R_{0}) or end resistance (R_{1}) as the parameter to calculate instead

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Contents

## Related Tools

- Linear thermal expansion calculations
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- Volumetric thermal expansion calculations
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- Temperature difference units conversion
- Thermal coefficient units conversion

## User Guide

This tool will calculate any parameter from the formula for determining how much electrical resistance changes with temperature, which includes the start temperature, end temperature, temperature coefficient of resistance (TCR), start resistance and end resistance.

### Formulas

The formulas used by this temperature, TCR and resistance change calculator to determine each individual parameter are as follows:

T_{0} = T_{1} – (R_{1} / R_{0} – 1) / α_{R}

T_{1} = T_{0} + (R_{1} / R_{0} – 1) / α_{R}

α_{R} = (R_{1} / R_{0} – 1) / (T_{1} – T_{0})

R_{0} = R_{1} / (1 + α_{R} · (T_{1} – T_{0}))

R_{1} = R_{0} · (1 + α_{R} · (T_{1} – T_{0}))

#### Symbols

- T
_{0}= Start temperature - T
_{1}= End temperature - α
_{R}= Temperature coefficient of resistance (TCR) - R
_{0}= Start resistance - R
_{1}= End resistance

### Start Temperature (T_{0})

This is the temperature of the object before the temperature is increased.

### End Temperature (T_{1})

This is the temperature of the object after the temperature has been increased

### Temperature Coefficient of Resistance (TCR, α_{R})

This is a fixed value which is used to determine how much a change in temperature will affect the electrical resistance of a particular material. The coefficient defines the fractional change in resistance of a material per unit change in its temperature.

### Start Resistance (R_{0})

This is the electrical resistance of the material when it is at the start temperature T_{0} .

### End Resistance (R_{1})

This is the electrical resistance of the material following a change temperature from T_{0} to T_{1} .

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