Calculate the density of thermionic emission current in Cs at 500 ,1000 ,2000 k^(circ)

Ryder Ferguson

Ryder Ferguson

Answered question

2022-10-29

Calculate the density of thermionic emission current in Cs at 500 , 1000 , 2000   k

Answer & Explanation

canhaulatlt

canhaulatlt

Beginner2022-10-30Added 17 answers

The required density of thermionic emission current at 500 K is,
J 500 = A T 2 e ω / k B T = ( 1.2 × 10 6 ) ( 500 ) 2 e [ ( 2.1 ) ( 1.6 × 10 19 ) ] / ( 1.38 × 10 23 ) ( 500 ) = 2.13 × 10 10   A / m 2
The required density of thermionic emission current at 1000 K is,
J 1000 = A T 2 e ω / k b T = ( 1.2 × 10 6 ) ( 1000 ) 2 e [ ( 2.1 ) ( 1.6 × 10 19 ) ] / ( 1.38 × 10 23 ) ( 1000 ) = 31.99   A / m 2
The required density of thermionic emission current at 2000 K is,
J 2000 = A T 2 e ω / k b T = ( 1.2 × 10 6 ) ( 2000 ) 2 e [ ( 2.1 ) ( 1.6 × 10 19 ) ] / ( 1.38 × 10 23 ) ( 2000 ) = 2.47 × 10 7   A / m 2

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