A temperature *rise* of x degrees Kelvin and x degrees Celsius is the same. So 
a thermal resistance of 400 degK/W = 400 degC/W.
ThetaJA is the semiconductor junction to ambient thermal resistance. Thus, if 
your room is at a cosy 21 degC and you dissipate 0.2W in your LED, then the 
LED’s junction temperature rise above ambient will be 400 x 0.2 = 80 degrees (C 
or K, it doesn’t matter). and the actual absolute junction temperature will be 
80 (the rise above ambient) + 21 degC (ambient) = 101 degC.
You need to consider the conditions under which the ThetaJA is specified, i.e. 
for a SMT LED I would expect it to be quoted for the LED soldered to a PCB with 
a typical pad size given as opposed to floating in free air! You will find all 
sorts of graphs in the data sheet for this.
The aim is to ensure the LED’s junction temperature remains within it’s 
absolute maximum ratings, and some safety margin is always sensible. You also 
need to consider the environment ambient to the LED. If it’s in an enclosure 
where the temperature may rise to, say 45 degC, then this becomes your ambient 
temperature.
The 0.2W example above would be untypically high for a small SMT LED. A more 
typical example would be driving a PCB mounted SMT LED having a forward voltage 
of around 3.5V at, say, 10mA with an ambient enclosure temperature of, say 50 
degC maximum. Let’s use your figure of ThetaJA of 400 degC/W (which is quite 
typical).
The power dissipation of the LED is: 3.5V x 10mA = 35mW
The LED’s junction temperature rise would be: 35mW x 400 degC/W = 14 degC
The operating junction temperature would be: 50 degC + 14 degC = 65 degC
A typical maximum junction temperature for such a device would be 100 to 125 
degC so the above example is working well within it’s maximum rating.
I’m glad we didn’t need a heatsink or, worse still, forced air cooling. Things 
get a little more complicated… But not too much.
Hope this helps.
T

----- Original Message -----
From: McInturff, Gary
Sent: 10/09/12 09:28 PM
To: [email protected]
Subject: [PSES] thermal resistance - K versus C

 Thought I knew what I was doing, obviously I don’t
 I have a device with a thermal resistance ThetaJA (J-P in this documentation). 
It’s for SMT CHIP LED the specified value is 400C/W. for a plastic package that 
seems about right. I am looking at another LED but it lists ThetaJA as 400K/W. 
(Kelvin/Watt) Seems pretty good as it would convert to 126C/W – the lower the 
better. But then I converted the ThetaJS (I think its junction – solder point), 
and that value was 180K/W. When converted its -93C. Does the change in sign 
just indicate the direction heat is flowing? ThetaJA is positive since the heat 
is leaving the die through the package, and the ThetaJS is negative because it 
is heating entering the die through the solder process?

Gary McInturff
Reliability/Compliance Engineer 

Esterline Interface Technologies 
Featuring
ADVANCED INPUT, MEMTRON, and LRE MEDICAL products 

600 W. Wilbur Avenue
Coeur d’Alene, ID 83815-9496 
Office:208-635-8306 
Cell: 509 868 2279 
Toll Free: 800-444-5923 X 1238 
 [email protected] 
www.esterline.com/interfacetechnologies http://www.esterline.com/advancedinput 
Technology, Innovation, Performance...

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