Problem 1: Consider the leaky capacitor shown in the figure above. Speci- fications are as follows: The plate L=40 µm. The density of free electrons is ne density of free holes n, holes are immobile. (a) For a current I = area is A 1.0 cm2, and the gap distance is 1 x 1026 particles/m³, and the 1 x 1026 particles/m is the same. Suppose that the 1 mA , what is the rate (in particles %3D per second) at which electrons pass by the imaginary boundary? (b) What drift velocity (in meters/sec) would give rise to this current? (c) Drift velocities in conductors tend to be small, but small as compared to what? How many orders of magnitude smaller is the average drift velocity in this device than the RMS thermal velocity of an electron moving in free space at room temperature? (Use the law of equipartition to find the RMS thermal velocity of a free electron.)
Problem 1: Consider the leaky capacitor shown in the figure above. Speci- fications are as follows: The plate L=40 µm. The density of free electrons is ne density of free holes n, holes are immobile. (a) For a current I = area is A 1.0 cm2, and the gap distance is 1 x 1026 particles/m³, and the 1 x 1026 particles/m is the same. Suppose that the 1 mA , what is the rate (in particles %3D per second) at which electrons pass by the imaginary boundary? (b) What drift velocity (in meters/sec) would give rise to this current? (c) Drift velocities in conductors tend to be small, but small as compared to what? How many orders of magnitude smaller is the average drift velocity in this device than the RMS thermal velocity of an electron moving in free space at room temperature? (Use the law of equipartition to find the RMS thermal velocity of a free electron.)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I need help on Problem 2
Problem 2) For the resistor described in problem 1, suppose that the electric field between the plates is sustained 2.5*10^4 V/m. a) What is the work (in electron volts) done by the field on each electron as it crosses the gap between the plates? b) What is the work (in electron volts) done by the friction on each electron as it crosses the gap between the plates ? c) At what rate (in watts) is energy dissipated at heat ?
Transcribed Image Text:Problem 1 Consider the leaky capacitor shown in the figure above. Speci-
fications are as follows: The plate area is A=1.0 cm², and the gap distace is
L=40 pm. The density of free electrons is n.
density of free holes n, =1x 10" particles/m* is the same. Suppose that the
holes are immobile, (a) For a current I 1 mA, what is the rate (in particles
per second) at which electrons pass by the imaginary boundary? (b) What drift
velocity (in meters/see) would give rise to this current? (c) Drift velocities in
conductors tend to be small, but small as compared to what? How many orders
of magnitude smaller is the average drift velocity in this device than the RMS
thermal velocity of an electron moving in free space at room temperature? (Use
the law of equipartition to find the RMIS thermal velocity of a free electron.)
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