A group of 25 power transistors, dissipating 1.5 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The emissivity of the transistor and the plate surfaces is 0.9. Assuming the heat transfer from the back side of the plate to be negligible and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the size of the plate if the average surface temperature of the plate is not to exceed 50°C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A group of 25 power transistors, dissipating 1.5 W
each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall
of a room at 30°C. The emissivity of the transistor and the
plate surfaces is 0.9. Assuming the heat transfer from the
back side of the plate to be negligible and the temperature of
the surrounding surfaces to be the same as the air temperature
of the room, determine the size of the plate if the average
surface temperature of the plate is not to exceed 50°C.

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