The charge e on one electron is too small to measure. However, one can make measurements of the current I passing through a detector. If N is the number of electrons passing through the detector in one second then I=eN. Assume N is Poisson. Show that the charge on one electron is given by Var(I)/E[I].
The charge e on one electron is too small to measure. However, one can make measurements of the current I passing through a detector. If N is the number of electrons passing through the detector in one second then I=eN. Assume N is Poisson. Show that the charge on one electron is given by Var(I)/E[I].
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The charge e on one electron is too small to measure. However, one can make measurements of the current I passing through a detector. If N is the number of electrons passing through the detector in one second then I=eN. Assume N is Poisson. Show that the charge on one electron is given by Var(I)/E[I].
Expert Solution
Step 1: Given information.
The charge on one electron is .
The total number of electrons passing through the detector is .
The total current passing through the detector is and it is given as .
Also, follows the Poisson distribution.
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