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semisolex11 - Semiconductor Physics and Devices Basic...

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Semiconductor Physics and Devices: Basic Principles, 3 rd edition Chapter 11 Solutions Manual Exercise Solutions 163 Chapter 11 Exercise Solutions E11.1 (a) φ fp x x V = = ( ) F H G I K J 0 0259 3 10 15 10 0 376 16 10 . ln . . x x x x dT = ( ) ( ) R S T U V W 4 117 8 85 10 0 376 16 10 3 10 14 19 16 1 2 . . . . / b g b gb g or x m dT = 0180 . µ (b) φ fp x V = = ( ) F H G I K J 0 0259 10 15 10 0 288 15 10 . ln . . x x x dT = ( ) ( ) R S T U V W 4 117 8 85 10 0 288 16 10 10 14 19 15 1 2 . . . . / b g b gb g or x m dT = 0 863 . µ E11.2 φ fn x x V = = ( ) F H G I K J 0 0259 8 10 15 10 0 342 15 10 . ln . . x x x x dT = ( ) ( ) R S T U V W 4 117 8 85 10 0 342 16 10 8 10 14 19 15 1 2 . . . . / b g b gb g or x m dT = 0 333 . µ E11.3 φ fp x x V = = ( ) F H G I K J 0 0259 3 10 15 10 0 376 16 10 . ln . . φ φ χ φ ms m g fp E e = ′ − ′ + + F H G I K J 2 = + + ( ) 3 20 3 25 0 555 0 376 . . . . or φ ms V = − 0 981 . E11.4 φ fp V = 0 376 . φ ms = − + ( ) 0 555 0 376 . . φ ms V = − 0 931 . E11.5 φ fp V = 0 376 . φ ms = ( ) 0 555 0 376 . . φ ms V = + 0179 . E11.6 From E11.3, φ ms V = − 0 981 . C t x x x F cm ox ox ox = = = ( ) 3 9 8 85 10 200 10 173 10 14 8 7 2 . . . / b g Then V Q C x x x FB ms ss ox = = − φ 0 981 16 10 8 10 173 10 19 10 7 . . . b gb g or V V FB = − 106 . E11.7 From E11.4, φ ms V = − 0 931 . V x x x FB = − 0 931 16 10 8 10 173 10 19 10 7 .
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