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Pertanyaan

Tiga batang P, Q dan R dari jenis berbeda memiliki panjang dan luas penampang sama disambung seperti gambar. Jika koefisien konduksi bahan k P ​ = 2 k Q ​ = 4 k R ​ , maka tentukan suhu sambungan T 2 ​ dan T 3 ​ !

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

Jika koefisien konduksi bahan , maka tentukan suhu sambungan  dan !

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M. Ardini

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

suhu sambungan dan

suhu sambungan  T subscript 3 equals 3. T subscript 2 minus 2. T subscript 1 dan T subscript 2 equals 1 fourth left parenthesis 4. T subscript 1 plus T subscript 4 minus T subscript 3 right parenthesis 

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Pembahasan

Diketahui: Ditanya: Jawab Jadi, suhu sambungan dan

Diketahui:
table attributes columnalign right center left columnspacing 0px end attributes row cell k subscript P end cell equals cell 2. k subscript Q equals 4. k subscript R end cell row cell L subscript P end cell equals cell L subscript Q equals L subscript R end cell row cell A subscript P end cell equals cell A subscript Q equals A subscript R end cell end table 

Ditanya:
T subscript 2 blank & blank T subscript 3 equals ? 

Jawab

table attributes columnalign right center left columnspacing 0px end attributes row cell Q subscript P over t end cell equals cell Q subscript Q over t equals Q subscript R over t end cell row cell fraction numerator k subscript P. A subscript P. increment T subscript P over denominator t end fraction end cell equals cell fraction numerator k subscript Q. A subscript Q. increment T subscript Q over denominator t end fraction equals fraction numerator k subscript R. A subscript R. increment T subscript R over denominator t end fraction end cell row cell k subscript P. increment T subscript P end cell equals cell k subscript Q. increment T subscript Q equals k subscript R. increment T subscript R end cell row cell k subscript P. left parenthesis T subscript 2 minus T subscript 1 right parenthesis end cell equals cell k subscript Q. left parenthesis T subscript 3 minus T subscript 2 right parenthesis equals k subscript R. left parenthesis T subscript 4 minus T subscript 3 right parenthesis end cell row blank blank blank row cell k subscript P. increment T subscript P end cell equals cell k subscript Q. increment T subscript Q end cell row cell k subscript P. open parentheses T subscript 2 minus T subscript 1 close parentheses end cell equals cell k subscript Q. open parentheses T subscript 3 minus T subscript 2 close parentheses end cell row cell 2. k subscript Q. open parentheses T subscript 2 minus T subscript 1 close parentheses end cell equals cell k subscript Q. open parentheses T subscript 3 minus T subscript 2 close parentheses end cell row cell 2. T subscript 2 minus 2. T subscript 1 end cell equals cell T subscript 3 minus T subscript 2 end cell row cell T subscript 3 end cell equals cell 3. T subscript 2 minus 2. T subscript 1 end cell row blank blank blank row cell k subscript P. increment T subscript P end cell equals cell k subscript R. increment T subscript R end cell row cell k subscript P. left parenthesis T subscript 2 minus T subscript 1 right parenthesis end cell equals cell k subscript R. left parenthesis T subscript 4 minus T subscript 3 right parenthesis end cell row cell 4. k subscript R. left parenthesis T subscript 2 minus T subscript 1 right parenthesis end cell equals cell k subscript R. left parenthesis T subscript 4 minus T subscript 3 right parenthesis end cell row cell 4. T subscript 2 minus 4. T subscript 1 end cell equals cell T subscript 4 minus T subscript 3 end cell row cell T subscript 2 end cell equals cell 1 fourth left parenthesis 4. T subscript 1 plus T subscript 4 minus T subscript 3 right parenthesis end cell row blank blank blank end table 

Jadi, suhu sambungan  T subscript 3 equals 3. T subscript 2 minus 2. T subscript 1 dan T subscript 2 equals 1 fourth left parenthesis 4. T subscript 1 plus T subscript 4 minus T subscript 3 right parenthesis 

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