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Midterm 2008_solution

Midterm 2008_solution - Problem1 a xd = Ld L 200nm 100nm =...

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Problem 1 a) 200 100 50 2 2 d d L L nm nm x nm = = = ( )( ) ( )( ) 2 2 10 0.05 1 0.5 10 0.2 1 2 gs gd ox d g ox d fF C C C x W m m fF m fF C C L W m m fF m μ μ μ μ μ μ = = = = = = = b) , , 3 3 1 7.5 4 4 0.1 3 3 1 30 4 4 0.025 dd eqN dsat N dd eqP dsat N V V R k m mA I m V V R k m mA I m μ μ μ μ = = = Ω⋅ = = = Ω⋅ Problem 2 ( ) ( ) , , ' ' , , , ' ' 2 2 4 dsat N dsat P p n n dsat N M TN dsat N p dsat P M dd TP dsat P n n p p p N I I W W k V V V V k V V V V V L L k W k W W W = = = = ,
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