{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

03_ex1fall_frsht

# 03_ex1fall_frsht - 6.012 Electronic Devices and Circuits...

This preview shows pages 1–2. Sign up to view the full content.

6.012 Electronic Devices and Circuits Formula Sheet for Hour Exam 1, Fall 2003 Parameter Values: Periodic Table: q = 1.6 x 10 - 19 Coul e = 8.854 x 10 - 14 F / cm III VI V o n e r,Si = 11.7, e Si ª 10 - 12 F / cm B C N i [ Si @ R . T ] ª 10 10 cm - 3 Al Si P kT / q ª 0.025 V ; ( kT / q ) ln10 ª 0.06 V Ga Ge As In Sn Sb 1 m m = 1 x 10 - 4 cm Drift/Diffusion: Electrostatics: Drift velocity : s = ±m E e dE ( x ) = r ( x ) E ( x ) = 1 x m x Ú r ( x ) dx dx e Conductivity : s = q ( m n + m h p ) e - d f ( x ) = E ( x ) f ( x ) = - Ú E ( x ) dx Diffusion flux : F = - D C m dx m m x d 2 f ( x ) = r ( x ) 1 - e dx 2 f ( x ) = - ÚÚ r ( x ) dxdx D kT m = Einstein relation : e m q m The Five Basic Equations: e 2 Electron concentration : n ( x , t ) - 1 J ( x , t ) = g L ( x , t ) - [ n ( x , t ) p ( x , t ) - n i ] r ( T ) t q x 2 Hole concentraton : p ( x , t ) + 1 J h ( x , t ) = g L ( x , t ) - [ n ( x , t ) p ( x , t ) - n i ] r ( T ) t q x Electron current density : J ( x , t ) = q m n ( x , t ) E ( x , t ) + qD e n ( x , t ) e e x Hole current density : J h ( x , t ) = q m h p ( x , t ) E ( x , t ) - qD h p ( x , t ) x + - Poisson's equation : E ( x , t ) = q [ p ( x , t ) - n ( x , t ) + N d ( x ) - N ( x ) ] x e a Uniform doping, full ionization, TE n - type, N d >> N a kT N D n

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}