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Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 1 (December 1,

  1. � � ✞ ✝ ✁✂ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor ✟✆✠ ✄✆☎ L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 1 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  2. ✡ ✞ ✁✂ ✝ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor × τ F Q F (t = 0) Q F 0 I C (t = 0) = = β F V 0 ( ) V BE on – ( ) β F × I C (t = 0) I B (t = 0) = = - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - R B ✄✆☎ ( ) V BE on 0 – ( ) I B = - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - R B L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 2 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  3. ☛ ☛ ☛ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor Q F dQ F I B = - - - - - - - - - + - - - - - - - - - - - τ BF dt ⁄ τ BF t – ( ) τ BF I B ( ) e Q F t I B (t = 0) I B = – – ( ) I B t = 0 I B   – τ BF t base   = ln - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - I B   – L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 3 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  4. ✁ ☞ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor ∆ Q F I B (t = 0) C D ∆ V Q F 0 τ BF t base R eq C D = - - - - - - - - - - - - = – - - - - - - - - - - = – - - - - - - - - - - - - - - - - - - - - - = - - - - - - - - - - - - - - - - = I B I B I B I B ( ) t space 2.2 R B C be C bc = + L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 4 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  5. ✡ ✂ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor V CC 2 V β F m = = 100 = 0.33 φ 0 0.75 V V 0 1 V = V BE on 0.75 V = = ( ) τ F 10 ps 5 k Ω R B = = C be 0 20 fF = C cs 0 47 fF = C bc 0 22 fF = ( ) 1 – 0.75 50 µ A I B (t = 0) = - - - - - - - - - - - - - - - - - - - - - - - - = 3 × 10 5 ( ) – 0.75 150 µ A I B = - - - - - - - - - - - - - - - - - - = – 3 × 10 5 L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 5 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  6. Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor ( ) I B t = 0 I B   – 200 µ A   τ BF ( × ) t base 10 ps 288 ps   = ln - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - = 100 ln - - - - - - - - - - - - - - - - =   150 µ A I B   – τ BF I C β F = - - - - - - = - - - - - - - - - τ F I B I B (t = 0) 50 µ A τ BF ( × ) t base 10 ps 333 ps = – - - - - - - - - - - - - - - - - - - - - - = – 100 - - - - - - - - - - - - - - - - - - - - = 150 µ A I B – L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 6 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  7. ✓ ✎ ✒ ✎ ✑ ✞ ✄ ✏ ✞ ✄ ✏ ✎ ✍ ✌ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor ✌✆✍ ✌✆✎ ✌✆✎ m φ 0 m m ) 1 – ) 1 – [ ( φ 0 ( φ 0 ] K eq be V high V low - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - = – – – ( ) ( ) 1 ( ) V high V low m – – 0.75 0.33 ) 1 – 0.33 ) 1 – 0.33 [ ( ( ] K eq be = - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 0.75 – 0.75 – 0.75 – 0 = 1.5 ( ) ( ) 1 ( ) 0.75 – 0 – 0.33 ✌✆✍ ( ) t depl 2.2 R B C be C bc = + 3 ( × 10 )Ω 1.5 ( × × ) t depl 20 fF 22 fF 495 ps = 2.2 5 + 0.68 = L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 7 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  8. ✘ ✔ ✓ ✒ ✎ ✑ ✎ ✗ ✕ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor ✌✆✖ L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 8 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  9. ✁ ☛ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor qA E D b n b 0 V BE φ T ⁄ V BE φ T ⁄ I C - e I S e = - - - - - - - - - - - - - - - - - - - - - - - - - - = W τ L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 9 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  10. ✁✂ ✜ ✡ ✂ ✙ ✡ ✚ ✡ ✂ ✁✂ ✛ ✁✂ ✢ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor λ V BE φ T ⁄ V CE   e I C I S 1   = + - - - - - - - - - - - V A   L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 10 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  11. ✁✣ ✡ ✂ � ✂ ✡ ✁✣ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 11 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  12. ✥ ✥ ✡ ✜ ✡ ✢ ✡ ✢ ✤ ✥ ✥ ✥ ✡ ✥ ✥ ✦ ✧ ★✩ ★ ✪ ★ ✫ ✛ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor Ω Ω L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 12 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  13. ✗ ✁ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor Ω L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 13 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  14. ✁✂ ☛ ✡ ✁ ☛ ☛ ✬ ✂ ✁ ☛ ✁✂ ☛ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor β β β β L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 14 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  15. ✁✂ ☛ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Actual Bipolar Transistor β ⁄ ( n φ T ) V BE I C I S e = L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 15 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  16. ✡ ✡ ✡ ✂ ✁ ✡ ✮ ✥ ✁ ✡ ✁ ✂ ✁ ✮ ✡ ✥ ✂ ✁ ✁✂ ✁ ✡ ✡ ✂ ✡ ✁ ✁ ✡✭ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x Bipolar SPICE Models L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 16 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  17. ✯ ✙ ☛ ✙ ✭ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x Bipolar SPICE Models V BC I S ⁄ ( n F φ T ) ⁄ ( n R φ T ) ⁄ ( n R φ T ) V BE V BC   V BC   1   I C I S e e   - e - - - - - = – – - - - - - - - - - - - – – 1     β R V A   I S I S ⁄ ( n F φ T ) ⁄ ( n R φ T ) V BE V BC     - e - e I B = - - - - - – 1 + - - - - - – 1     β F β R L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 17 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

  18. ✡ ✁ ✁ ✂ Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x Bipolar SPICE Models L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 18 (December 1, 2002 10:49 pm) I E S R C E O V U I N N U T Y 1 6 9 6

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