Electronics

Thermal Resistance

Thermal-resistance model for heat flow — R_θJA, R_θJC, R_θCS, and heatsink selection.

Model

ΔT = P · R_θLike Ohm's law — temperature rise for given heat
R_θJAJunction to ambient — no heatsink
R_θJCJunction to case — datasheet value
R_θCSCase to sink (TIM + contact)
R_θSASink to ambient — heatsink rating
SeriesR_θJA = R_θJC + R_θCS + R_θSA

Typical values

ElementR_θ (°C/W)
TO-220 no heatsink60–80
TO-220 small heatsink10–20
TO-220 with fan1–5
TO-247 big extrusion0.5–2
Thermal pad (TIM, 1 mm)0.5–2 (1.5 °C·cm²/W)
Thermal grease, good< 0.1 °C·cm²/W
BGA package5–15 (to PCB)

Heatsink selection

  • Target T_J < 0.8 × T_J,max for reliability (e.g. < 100 °C if rated 125 °C).
  • Sizing: R_θSA_max = (T_J,max − T_A − P · R_θJC − P · R_θCS) / P.
  • Natural convection limits — above ~10 W per TO-220, add forced airflow or larger sink.
  • Mount with TIM — a dry joint is typically 5–10× worse than paste.

Notes

  • R_θJA depends heavily on PCB copper area — datasheet values assume specific standards (JEDEC 51).
  • Electrical analogy: temperatures are voltages, power is current, R_θ is resistance, thermal capacitance smooths transients.
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