The Ohm's Law of Thermal Resistance
Thermal heat transfer follows an exact mathematical analog to electrical circuits. Temperature difference ((Delta T)) acts as voltage, thermal power dissipation ((P) in Watts) acts as current, and thermal resistance (( heta) in (^circ ext{C/W})) acts as electrical resistance.
Solving for Required Heatsink Rating (( heta_{sa}))
To prevent semiconductor failure, rearrange the formula to find the maximum allowable thermal resistance of the heatsink to ambient air (( heta_{sa})):
Note the inverse rule: A smaller ( heta_{sa}) number represents a larger, more efficient heatsink that can dump heat with less temperature rise.
Natural Convection vs Forced Air (CFM)
Natural convection heatsinks require massive fin surface area. Adding a small 40mm or 80mm cooling fan delivering 15 to 30 CFM (approx 200 to 400 LFM air velocity) reduces heatsink thermal resistance by 60% to 75%, allowing you to shrink the heatsink volume to a fraction of its natural size.