Estimate steady-state temperature rise, junction or ambient temperature, heat power and thermal resistance. Material mode models a flat layer; power alone cannot determine temperature.

Estimate steady-state rise from heat power and the resistance of the specified path.

Use resistance appropriate to the specified thermal path.

Optional settings

Watts to Temperature Rise Formula (Thermal Resistance)

Estimate steady-state temperature rise from heat power and resistance appropriate to the specified path. For junction temperature, use effective resistance for the complete junction-to-ambient cooling path. Texas Instruments explains why datasheet junction-to-ambient values depend on the test board and conditions.

ฮ”T = P ร— Rฮธ

Variables:

  • ฮ”T is the temperature rise (K or ยฐC)
  • P is the power dissipated as heat (W)
  • Rฮธ is the thermal resistance from the heat source to ambient (K/W or ยฐC/W)

Multiply heat power by thermal resistance. A temperature difference of 1 K equals a difference of 1 ยฐC; absolute temperatures use the offset 0 K = โˆ’273.15 ยฐC. The passive heating modes accept nonnegative power and positive resistance, and reject impossible absolute temperatures. See NIST temperature units.

Watts to Temperature Rise Conversion Table (Assumes Thermal Resistance Rฮธ = 4.0 K/W)
Power (W) Temperature Rise (K) Temperature Rise (ยฐC)
0.10.40.4
0.251.01.0
0.52.02.0
0.753.03.0
14.04.0
1.56.06.0
28.08.0
2.510.010.0
312.012.0
416.016.0
520.020.0
7.530.030.0
1040.040.0
1248.048.0
1560.060.0
1872.072.0
2080.080.0
2288.088.0
2496.096.0
25100.0100.0
* Rounded to 1 decimal. Uses ฮ”T = P ร— Rฮธ with Rฮธ = 4.0 K/W. Note: a temperature difference in K equals the same value in ยฐC.

What is Temperature Rise (ฮ”T)?

Temperature rise (ฮ”T) is the difference between a heat source and a reference temperature. This calculator estimates steadyโ€‘state passive heating with constant positive resistance. Material mode uses R = thickness รท (conductivity ร— area), with positive dimensions and conductivity; optional heat power gives the difference between the layer faces. The plane-layer conduction model assumes uniform one-dimensional conduction, constant conductivity and no internal heat generation. It excludes contact resistance, spreading, convection and radiation, and is not automatically a complete path to ambient. Preset conductivities are illustrative; actual grade, direction and temperature matter. Air layer means conduction, not convection. This model does not calculate transient temperature changes from mass, time and specific heat.

How to Calculate Temperature Rise?

The following steps outline how to calculate the temperature rise using thermal resistance.


  1. Determine the power being dissipated as heat (P) in watts (W).
  2. Determine effective thermal resistance (Rฮธ) for the complete heat-source-to-ambient path and conditions, in K/W or ยฐC/W. A datasheet RฮธJA depends on its test setup. The material-layer estimate covers only conduction through that layer.
  3. Use the formula from above: ฮ”T = P ร— Rฮธ.
  4. If you want absolute temperature, add ambient temperature: Tj = Ta + ฮ”T.
  5. Check your result with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Power (P) = 5 W

Thermal Resistance (Rฮธ) = 4.0 ยฐC/W

Ambient Temperature (Ta) = 25 ยฐC

Temperature Rise (ฮ”T) = P ร— Rฮธ = 5 ร— 4.0 = 20 ยฐC (same numeric rise as 20 K)

Junction / Component Temperature (Tj) = Ta + ฮ”T = 25 + 20 = 45 ยฐC