Electrical properties of p-n junction
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This document discusses the electrical properties of p-n junctions. It describes abrupt and linearly graded p-n junction profiles and their depletion widths, electric fields, junction potentials, and capacitances. Equations for the depletion capacitance and diffusion capacitance of abrupt and linearly graded p-n junctions are also presented.
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Electrical properties of p-n junction
- 1. Course: Electronic Devices paper code: EC301 Course Coordinator: Arpan Deyasi Department of Electronics and Communication Engineering RCC Institute of Information Technology Kolkata, India 8/27/2020 1Arpan Deyasi, RCCIIT, India Topic: p-n Junction-II
- 2. Classification of p-n junction based on doping profile Abrupt Linearly-graded ND NA zn -zp ND NA W/2 -W/2 W 8/27/2020 2Arpan Deyasi, RCCIIT, India
- 3. D n A pN z N z= Electrical Properties of Abrupt Junction From charge neutrality condition Total depletion width n pz z W+ = 8/27/2020 3Arpan Deyasi, RCCIIT, India
- 4. Electrical Properties of Abrupt Junction A n D A N z W N N = + D p D A N z W N N = + 8/27/2020 4Arpan Deyasi, RCCIIT, India
- 5. Electrical Properties of Abrupt Junction From Poisson’s equation dE dz ρ ε = n DqNρ = p AqNρ = − D AdE qN qN dz ε ε = = − 8/27/2020 5Arpan Deyasi, RCCIIT, India
- 6. Electrical Properties of Abrupt Junction D AqN qN E dz dz ε ε = = −∫ ∫ 1 2 D AqN qN E z C z C ε ε = + =− + 8/27/2020 6Arpan Deyasi, RCCIIT, India
- 7. Electrical Properties of Abrupt Junction at z = zn , E = 0 1 D n qN C z ε = − ( )D n qN E z z ε =− − at z =-zp , E = 0 2 A p qN C z ε = − ( )A p qN E z z ε =− + 8/27/2020 7Arpan Deyasi, RCCIIT, India
- 8. Electrical Properties of Abrupt Junction Maximum electric field max D A n p qN qN E z z ε ε =− =− max . . . .D A A D D A D A qN N qN N E W W N N N Nε ε =− =− + + 8/27/2020 8Arpan Deyasi, RCCIIT, India
- 9. Electrical Properties of Abrupt Junction 8/27/2020 9Arpan Deyasi, RCCIIT, India Junction potential n p z j z V Edz − = − ∫ 0 0 n p z j z V Edz Edz − =− −∫ ∫
- 10. 8/27/2020 10Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction 0 0 ( ) ( ) n p z A D j p n z qN qN V z z dz z z dz ε ε− = + + −∫ ∫ 2 2 2 2 A D j p n qN qN V z z ε ε = +
- 11. 8/27/2020 11Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction 2 2 2 2 A D D A j D A D A qN N qN N V W W N N N Nε ε + + + 2 2 D A j D A q N N V W N Nε = +
- 12. 8/27/2020 12Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction Depletion width 1/2 2 D A j D A N N W V q N N ε + = For externally applied voltage VA 1/2 2 ( )D A j A D A N N W V V q N N ε + −
- 13. 8/27/2020 13 Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction Depletion Capacitance Wp n
- 14. 8/27/2020 14Arpan Deyasi, RCCIIT, India j j dQ C dV = Electrical Properties of Abrupt Junction D n A pQ V qN Az qN Azρ= = = where A D D A WN Q qN A N N = +
- 15. 8/27/2020 15Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction 1/2 2A D A D j D A D A N N N Q qN A V N N q N N ε + = + 1/2 2 2 D A j D A N N Q qA V N N ε = +
- 16. 8/27/2020 16Arpan Deyasi, RCCIIT, India Electrical Properties of Abrupt Junction 1/2 2 2 D A j j D A qA N N C V N N ε = + j A C W ε =
- 17. 8/27/2020 17Arpan Deyasi, RCCIIT, India Electrical Properties of Linear-Graded Junction From Poisson’s equation dE dz ρ ε = where kzqρ = dE kzq dz ε =
- 18. 8/27/2020 Arpan Deyasi, RCCIIT, India 18 Electrical Properties of Linear-Graded Junction kzq E dz ε = ∫ 2 1. 2 kq z E C ε = +
- 19. 8/27/2020 Arpan Deyasi, RCCIIT, India 19 Electrical Properties of Linear-Graded Junction at z = ±W/2, E = 0 2 1 . 8 kq z C ε = − 2 2 2 4 kq W E z ε =− −
- 20. 8/27/2020 Arpan Deyasi, RCCIIT, India 20 Electrical Properties of Linear-Graded Junction at z = 0, E = Emax 2 max 8 kq E W ε = −
- 21. 8/27/2020 Arpan Deyasi, RCCIIT, India 21 Electrical Properties of Linear-Graded Junction Junction potential /2 /2 W j W V Edz − = − ∫ /2 2 2 /2 2 4 W j W kq W V z dz ε− = − ∫
- 22. 8/27/2020 Arpan Deyasi, RCCIIT, India 22 Electrical Properties of Linear-Graded Junction 3 12 j qk V W ε = Depletion width 1/3 12 jV W qk ε =
- 23. 8/27/2020 Arpan Deyasi, RCCIIT, India 23 Electrical Properties of Linear-Graded Junction Depletion Capacitance j j dQ C dV = where dQ A dz Aqkzdzρ= = /2 2 0 8 W qAkW Q A qkzdz= =∫
- 24. 8/27/2020 Arpan Deyasi, RCCIIT, India 24 Electrical Properties of Linear-Graded Junction 2/3 12 8 jVqAk Q qk ε = 1/3 2 12 j j qk C A V ε =
- 25. 8/27/2020 25 Arpan Deyasi, RCCIIT, India Wp n Diffusion Capacitance (for Abrupt and Linear-graded)
- 26. 8/27/2020 Arpan Deyasi, RCCIIT, India 26 Diffusion Capacitance (for Abrupt and Linear-graded) Diode current due to holes 0 exp 1p n p T AqD V I p L V − If applied voltage is high 0 expp n p T AqD V I p L V =
- 27. 8/27/2020 Arpan Deyasi, RCCIIT, India 27 Diffusion Capacitance (for Abrupt and Linear-graded) Charge stored at the junction due to holes pQ Iτ= 0 expp n p p T AqD V Q p L V τ = 0 expp n T V Q AqL p V =
- 28. 8/27/2020 Arpan Deyasi, RCCIIT, India 28 Diffusion Capacitance (for Abrupt and Linear-graded) T dQ C dV = 0 expT p n T d V C AqL p dV V = 0 exp p n T T T AqL p V C V V =
- 29. 8/27/2020 Arpan Deyasi, RCCIIT, India 29 Diffusion Capacitance (for Abrupt and Linear-graded) 0 exp n p T T T AqL n V C V V = If we consider electron current