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TLC5955 POWER dissipation

hi My customer is using 37 Leds

LED 20ma VF 3V to 3.6v

Vin 4v2

Total losses

4.2V(in)-3V(vf)= 1.2V

Power dissipation on the IC:

1.2v * 20mA ( LED current) = 24mW

Total Power dissipation on the IC:

37 LEDS * 24mw = 888mW

 + 150mw of the IC itself???

Is 1 W power losses acceptable? in the worst case.

i saw that we will have a 32deg more dissipation + the Ambient temperature!!

is these result correct?

regards,

kamal