3 NeutronAtomic nuclei are made up of protons and neutrons. Protons and neutrons are made up of quarks. In this problem, wewill investigate the electric field of a neutron.The neutron consists of three quarks: an up quark with a charge of +2e/3 and two down quarks, each with a charge of-e/3. (Here, e = 1.6 x 10-19 C is the charge of an electron.) In one model of a neutron, the up quark occupies a radiusof about a = 0.3 fm. The two down quarks occupy the distance between a and the radius of the neutron, R = 2 fm.For this problem, consider the neutron to be a uniformly charged sphere of charge +2e/3 and radius a surrounded by auniformly charged spherical shell of inner radius a and outer radius R and charge -2e/3, as shown in the figure.R(a) Use Gauss' law to find the electric field as a function of distance from the center of the neutron. Analyze all threeregions of interest:•rRYour result should be a piecewise continuous function of the single variable r.(b) Make a plot of electric field strength as a function of radius for 0

Given,q1 = +23e, upto radius aq2 = -23e, (a<r<R)a = 0.3 fmR = 2 fma) consider a Gaussian…

(a) Use Gauss' law to find the electric field as a function of distance from the center of the neutron. Analyze all three regions of interest: •rR Your result should be a piecewise continuous function of the single variable r. (b) Make a plot of electric field strength as a function of radius for 0

(a) Use Gauss' law to find the electric field as a function of distance from the center of the neutron. Analyze all three regions of interest: •rR Your result should be a piecewise continuous function of the single variable r. (b) Make a plot of electric field strength as a function of radius for 0

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

3 Neutron
Atomic nuclei are made up of protons and neutrons. Protons and neutrons are made up of quarks. In this problem, we
will investigate the electric field of a neutron.
The neutron consists of three quarks: an up quark with a charge of +2e/3 and two down quarks, each with a charge of
-e/3. (Here, e = 1.6 x 10-19 C is the charge of an electron.) In one model of a neutron, the up quark occupies a radius
of about a = 0.3 fm. The two down quarks occupy the distance between a and the radius of the neutron, R = 2 fm.
For this problem, consider the neutron to be a uniformly charged sphere of charge +2e/3 and radius a surrounded by a
uniformly charged spherical shell of inner radius a and outer radius R and charge -2e/3, as shown in the figure.
R
(a) Use Gauss' law to find the electric field as a function of distance from the center of the neutron. Analyze all three
regions of interest:
•r<a
• a<r<R
• r>R
Your result should be a piecewise continuous function of the single variable r.
(b) Make a plot of electric field strength as a function of radius for 0 <r < 5fm. Your plot should be neat and
accurate. Use graph paper or plotting software. Be sure to include units, label your axes, and clearly indicate the
location of a and R on your plot.

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