Electronic components are often mounted with good heat conduction paths to a finned aluminum base plate, which is exposed to a stream of cooling air from a fan. The sum of the mass times specific heat products for a base plate and components is 5000 J/K, and the effective heat transfer coefficient times surface area product is 10 W/K. The initial temperature of the plate and the cooling air temperature are

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Electronic components are often mounted with good heat conduction paths to a finned aluminum base plate, which is exposed to a stream of cooling air from a fan. The sum of the mass times specific heat products for a base plate and components is 5000 J/K, and the effective heat transfer coefficient times surface area product is 10 W/K. The initial temperature of the plate and the cooling air temperature are 295 K when 300 W of power are switched on. 1) Find the plate temperature after 10 minutes.

answer ; 311.36 k

Explanation:

Given data :

sum of mass * specific heat products for a base plate and components ( Mcp )

= 5000 J/K

effective heat transfer coefficient * surface area ( hA )  = 10 W/K

Initial temperature of plate and cooling air temperature( Tc ) = 295 k

power ( Q = W ) = 300 W

a) Determine plate temperature after 10 minutes

10 mins = 600 secs ( t )

heat supplied = change in temp + heat loss

          Q * t    = mCp ( ΔT ) + hA ( ΔT ) t

   300*600   =  5000 * ( T -295 )  + 10 ( T -295 ) * 600

therefore ; T - 295 = 16.363

                           T = 311.36 K