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Tiga batang konduktor P, Q, dan R dari jenis berbeda memiliki panjang dan luas penampang sama disambungkan seperti pada gambar. Suhu T 1 = 20 o C dan T 4 = 90 o C , koefisien konduksi k p = 2 k Q = 4 k R , maka suhu T 2 dan T 3 adalah ....

Tiga batang konduktor P, Q, dan R dari jenis berbeda memiliki panjang dan luas penampang sama disambungkan seperti pada gambar.

Suhu T1 = 20 oC dan T4 = 90 oC , koefisien konduksi kp = 2 kQ = 4 kR , maka suhu T2 dan T3 adalah ....

  1. straight T subscript 2 space equals space 40 degree straight C comma space straight T subscript 3 space equals space 75 degree straight C

  2. straight T subscript 2 space equals space 40 degree straight C comma space straight T subscript 3 space equals space 60 degree straight C

  3. straight T subscript 2 space equals space 35 degree straight C comma space straight T subscript 3 space equals space 65 degree straight C

  4. straight T subscript 2 space equals space 30 degree straight C comma space straight T subscript 3 space equals space 50 degree straight C

  5. straight T subscript 2 space equals space 30 degree straight C comma space straight T subscript 3 space equals space 40 degree straight C

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R. Maiza

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

Persamaan 1 : Persamaan 2 : Eliminasi persamaan (1) dan (2) maka akan didapatkan :

Persamaan 1 :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight Q subscript straight p over straight t subscript straight p space end cell equals cell space straight Q subscript straight q over straight t subscript straight q end cell row cell fraction numerator straight k subscript straight p space straight A space increment straight T subscript straight p over denominator straight L end fraction space end cell equals cell space fraction numerator straight k subscript straight q space straight A space increment straight T subscript straight q over denominator straight L end fraction end cell row cell straight k subscript straight p left parenthesis straight T subscript 2 minus 20 right parenthesis space end cell equals cell space 1 half straight k subscript straight p left parenthesis straight T subscript 3 minus straight T subscript 2 right parenthesis end cell row cell 2 straight T subscript 2 minus 40 space end cell equals cell space straight T subscript 3 minus straight T subscript 2 end cell row cell 3 straight T subscript 2 minus straight T subscript 3 space end cell equals cell space 40 end cell end table end style

 

Persamaan 2 :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight Q subscript straight q over straight t subscript straight q space end cell equals cell space straight Q subscript straight R over straight t subscript straight R end cell row cell fraction numerator straight k subscript straight q space straight A space increment straight T subscript straight q over denominator straight L end fraction space end cell equals cell space fraction numerator straight k subscript straight R space straight A space increment straight T subscript straight R over denominator straight L end fraction end cell row cell 1 half straight k subscript straight p left parenthesis straight T subscript 3 minus straight T subscript 2 right parenthesis space end cell equals cell space 1 fourth straight k subscript straight p left parenthesis 90 minus straight T subscript 3 right parenthesis end cell row cell 2 straight T subscript 3 minus 2 straight T subscript 2 space end cell equals cell space 90 minus straight T subscript 3 end cell row cell negative 2 straight T subscript 2 plus 3 straight T subscript 3 space end cell equals cell space 90 end cell end table end style

 

Eliminasi persamaan (1) dan (2) maka akan didapatkan :

begin mathsize 14px style straight T subscript 2 space equals space 30 degree straight C  straight T subscript 3 space equals space 50 degree straight C end style

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Dua batang P dan Q dengan ukuran yang sama tetapi jenis logam berbeda didekatkan seperti pada gambar di bawah. Jika koefisien konduksi termal P adalah dua kali koefisien konduksi termal Q, maka besar ...

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