Heat Sink Sizing Calculator Formula

Understand the math behind the heat sink sizing calculator. Each variable explained with a worked example.

Formulas Used

Max Heat Sink θsa

max_theta_sa = (tj_max - t_ambient) / power_w - theta_jc - theta_cs

Total Thermal Budget

total_budget = (tj_max - t_ambient) / power_w

Used by JC + CS

used_budget = theta_jc + theta_cs

Variables

VariableDescriptionDefault
power_wPower Dissipated(W)10
tj_maxMax Junction Temperature(°C)125
theta_jcJunction-to-Case (θjc)(°C/W)2
theta_csCase-to-Sink (θcs)(°C/W)0.5
t_ambientAmbient Temperature(°C)40

How It Works

Heat Sink Sizing

Formula

θsa_max = (Tj_max - T_ambient) / P - θjc - θcs

This gives the maximum thermal resistance the heat sink can have. Select a heat sink rated at or below this value. Forced air cooling reduces effective θsa.

Worked Example

10 W device, Tj_max = 125C, theta_jc = 2, theta_cs = 0.5, ambient = 40C.

power_w = 10tj_max = 125theta_jc = 2theta_cs = 0.5t_ambient = 40
  1. 01Thermal budget = (125 - 40) / 10 = 8.5 C/W
  2. 02Used = 2 + 0.5 = 2.5 C/W
  3. 03Max theta_sa = 8.5 - 2.5 = 6.0 C/W

Ready to run the numbers?

Open Heat Sink Sizing Calculator