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Joule Heat in a Resistor: Transferred heat magnitude Calculator

Joule Heat in a Resistor: Calculate transferred heat magnitude from Current magnitude, Resistance, Time interval. Check the formula, input units and worked result on this page.

Enter your values

A
Formula symbol: I. Required unit: A. Must be greater than zero.
Ω
Formula symbol: R. Required unit: Ω. Must be greater than zero.
s
Formula symbol: t. Required unit: s. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Current and resistance are constant over time. The result is dissipated electrical energy, not resistor temperature.
Example result
Transferred heat magnitude
56.953125 J

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use joule heat in a resistor with the units stated beside the fields. This form solves for transferred heat magnitude; enter the known quantities in Current magnitude, Resistance, Time interval.

Inputs and units
Joule Heat in a Resistor: Transferred heat magnitude Calculator · Inputs and units
InputExample valueWhat to enter
Current magnitude2.25 AFormula symbol: I. Required unit: A. Must be greater than zero.
Resistance3.75 ΩFormula symbol: R. Required unit: Ω. Must be greater than zero.
Time interval3 sFormula symbol: t. Required unit: s. Must be greater than zero.
Q = (1 × (I)^(2) × R × t)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Current magnitude
2.25 A
Resistance
3.75 Ω
Time interval
3 s

Complete example results

Transferred heat magnitude
56.953125 J

Reading the result

The result solves for transferred heat magnitude from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the transferred heat magnitude result?

This model uses positive magnitudes. Current and resistance are constant over time. The result is dissipated electrical energy, not resistor temperature.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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