SSD(EE-2080)L37_18april

SSD(EE-2080)L37_18april - /dx, we can write L D is the...

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SSD(EE-2080) Lecture 37 Dr. Shiv Govind Singh sgsingh@iith.ac.in Assistant Professor Electrical Engineering Semester 2, Y-2010/11
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Reference Text Book: 1. Physics of Semiconductor Devices, S. M. Sze , John Wiley & Sons (1981). 2. Solid State Electronics by Ben G. Streetman and Sanjay Banerjee , Prentice Hall International , Inc. 3. Semiconductor Physics and Devices, Donald A. Neamen, Tata Mcgraw-Hill Publishing company Limited. Reference Book: Semiconductor Device Fundamental R. Pirret MOSFET Physics, Trisvid
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Solution x n qD pE q J x n qD nE q J p p n n
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Exact Solution Assume Acceptors and donors is not functions of x ( uniformly distributed) Impurities are fully ionized i.e. N d + = N d and N a = N a Integrating with respect to y from deep in the bulk (x = ) where y = 0 and d y /dx = 0, using (d 2 y /dx 2 ) · d y = (d y /dx) · d (d y /dx),
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Cont. Since the electric field E at any point x is – d y
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Unformatted text preview: /dx, we can write L D is the extrinsic Debye length given Positive sign holds for y > 0 (bands bending downwards), and the negative sign holds for y < 0. Cont. The electric field at the surface Es is given by Using Gauss' law, the total charge Q S in the semiconductor is given by MOS capacitor under the different biasing conditions (c) Depletion (0 < y s < 2 f B ) (d) Inversion ( y s > 2 f B ) Voltage using the Accurate Solution Gate voltage V G of the ideal MOS capacitor = 1 Graph of y s versus V G for Na = 1x10 16 cm−3 and x = 25 nm Surface charge and potential using the Accurate Solution Small Signal Capacitance and Equivalent Circuit Junction Capacitance Cont. Junction Capacitance in accumulation Junction Capacitance in depletion Junction Capacitance in Inversion High frequency response in MOS-C Ideal vs. Real C-V Characteristics...
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This note was uploaded on 07/19/2011 for the course EE 211 taught by Professor Sgsingh during the Spring '11 term at IIT Kanpur.

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SSD(EE-2080)L37_18april - /dx, we can write L D is the...

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