hw3 - Fall 2005 6.012 Microelectronic Devices and Circuits...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Fall 2005 6.012 Microelectronic Devices and Circuits Prof. J. A. del Alamo Homework #3 - September 23, 2005 Due: September 30, 2005 at recitation 2 PM latest) (late homework will not be accepted) Please write your recitation session time on your problem set solution. 1. [30 points] In a certain region of an n-type semiconductor in thermal equilibrium at room temperature, there is an electric ±eld distribution in space as sketched below. E (V/cm) x ( μ m) 0 0 1 0.5 1200 for 0 <x< 1 μm : E = 600 { 1 + cos[10 4 π (2 x - 10 - 4 )] } V/cm with x in cm everywhere else: E =0 a) [10 points] Derive an analytical expression and sketch the electrostatic potential distri- bution in this region. b) [10 points] Derive an analytical expression and sketch the net volume charge density in this region. c) [10 points] If you are told that the equilibrium electron concentration at x =0is n o = 10 17 cm - 3 , compute the equilibrium electron concentration at x =1 μm ? 2. [20 points] A device design engineer in a group incharged of developing a very aggressive Si npn bipolar process becomes concerned with the suitability of the company’s device simulation tools to do the job. She argues that in an effort to push the frequency response of the transistor, the base might become so thin, that perhaps carriers could cross it without (
Background image of page 1

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

View Full DocumentRight Arrow Icon
signifcant scattering. In this case, a device CAD tool that incorporates “ballistic” transport
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/20/2009 for the course ELECTRICAL 6.012 taught by Professor Prof.jesúsdelalamo during the Fall '05 term at MIT.

Page1 / 4

hw3 - Fall 2005 6.012 Microelectronic Devices and Circuits...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online