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A device rated \( 10 \ \mathrm{W} \) at \( 25 \ \mathrm{^\circ C} \) derates linearly to zero at \( 150 \ \mathrm{^\circ C} \). At \( 75 \ \mathrm{^\circ C} \) it may dissipate

  • A.5 W
  • B.10 W
  • C.3.3 W
  • D.6 W

Answer: D

Interpolating along the derating line:

\[ \begin{aligned} P &= 10 \times \frac{150-75}{150-25} \\ &= 10 \times 0.6 = 6 \ \mathrm{W} \end{aligned} \]

so 6 watts. Five watts would be the midpoint of the temperature range rather than of the power range. A rating quoted at one temperature is nearly always a straight line to zero at the limit, and reading it that way is safer than assuming the headline figure applies.

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