Lecture12-p-n Junctions 2

Lecture12-p-n Junctions 2 - Lecture 12 P-N Junction Diodes...

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ECE 3040 - Dr. Alan Doolittle Georgia Tech Lecture 12 P-N Junction Diodes: Part 2 How do they work? (A little bit of math) Reading: Pierret 6.1
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ECE 3040 - Dr. Alan Doolittle Georgia Tech Fig Pierret 5.5 Space Charge or Depletion Region Movement of electrons and holes when forming the junction Circles are charges free to move (electrons and holes) Squares are charges NOT free to move (ionized donor or acceptor atoms) High electron Concentration High hole Concentration Electron diffusion Hole diffusion Local region of positive charge due to imbalance in electron-donor concentrations Local region of negative charge due to imbalance in hole-acceptor concentrations
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ECE 3040 - Dr. Alan Doolittle Georgia Tech Movement of electrons and holes when forming the junction E = - dV/dx -E dx=dV = = = = = = + = = = = ) ( ) ( ln ... 0 ... ) ( ) ( ) ( ) ( ) ( ) ( p n x n x n x x bi n N N n N bi p n x V x V x x x n x n q kT n dx dn q kT Edx V thus n dx dn q kT n dx dn D E dx dn qD nE q J but V x V x V dV Edx n p n p n p n p µ µ No net current flow in equilibrium
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ECE 3040 - Dr. Alan Doolittle Georgia Tech = = = 2 2 ln ln ) ( ) ( ln i D A bi A i D p n bi n N N q kT V N n N q kT x n x n q kT V
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