HW_Problems_5_solution

# HW_Problems_5_solution - 1 The Fermi level in the p-type...

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1. The Fermi level in the p-type regin is given by 17 18 15 17 The Fermi level in the p-type region is given by 10 ln( ) 0.026ln( ) 0.113 7.72 10 The Fermi level in the n-type region 10 ln( ) 0.026ln( ) 0.159 4.45 10 ( Fp V V V V Fn C C C C bi C p EE K T E E e V N n K T E E e V N qV E =− =+ × × ⇒= 12 6 12 53 17 15 5 0.159) ( 0.113) 0.159 0.113 1.158 Also, we can use ln( ) for GaAs np 3.24 10 3.24 10 3.24 10 10 10 0.026 ln( ) 1.167 3.24 10 The two results are very close Vg n bi p p bi n KT V qn cm nc m Ve v −− −+ = = = × = × × = × to each other. e V 2. solution: 2 20 6 33 17 3 2 20 6 3 17 3 17 14 17 3 19 17 3 17 3 2.25 10 2.25 10 10 2.25 10 450 51 0 10 0.026 ln( ) 0.86 450 2 (11.9 8.85 10 / ) 0.86 5 10 () 1.6 10 10 6 10 i p p i n n bi pb i n cm m pc m n cm m m VV Fcm V cm WV Cc m c m × == = × × = × = ⎧⎫ ⎡⎤ ×× × × × ⎪⎪ = ⎨⎬ ⎢⎥ × ⎣⎦ 6 6 9.71 10 ( ) 1.94 10 nb i cm 10 -6 cm 02 -9 E Fp E Fn n-side p-side

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3. Use W p ,W n equations at V bi =1.16V 1/2 14 15 3 19 17 3 17 3 15 3 6 2 () 2(13.8 8.85 10 / )(1.16 ) 10 (1.6 10 ) 10 (10 10 ) 1.29 10 2 1 . 2 bi D pb i AA D bi A nb i DA D V N WV qN NN Fcm V cm Cc m c m c m cm V N ε −− ⎧⎫
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HW_Problems_5_solution - 1 The Fermi level in the p-type...

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