Problem 2: An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nu- cleus) at the center of a sphere of radius R with uniformly distributed neg- ative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. Show that the electric field strength inside this atom is Ein = Ze 1 4περ \r2 R³ a) Fig.2 illustrates the model of the atom. In the figure, draw the Gaussian surface that you will use to find the field. Draw the vectors that represent the electric field at the Gaussian surface. How do you know the direction of the electric field inside the atom? q=ze R Ze ง P- FIG. 2: The scheme for Prob- lem 2 b) What is the volume charge density p. of the negative sphere? Use Gauss's law and the symmetry arguments in order to find the expression for the electric field strength inside the atom. What is the electric field strength outside this atom? c) A uranium atom has Z = 92 and R = 0.10 nm. What is the electric field strength at r = R/2?
Problem 2: An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nu- cleus) at the center of a sphere of radius R with uniformly distributed neg- ative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. Show that the electric field strength inside this atom is Ein = Ze 1 4περ \r2 R³ a) Fig.2 illustrates the model of the atom. In the figure, draw the Gaussian surface that you will use to find the field. Draw the vectors that represent the electric field at the Gaussian surface. How do you know the direction of the electric field inside the atom? q=ze R Ze ง P- FIG. 2: The scheme for Prob- lem 2 b) What is the volume charge density p. of the negative sphere? Use Gauss's law and the symmetry arguments in order to find the expression for the electric field strength inside the atom. What is the electric field strength outside this atom? c) A uranium atom has Z = 92 and R = 0.10 nm. What is the electric field strength at r = R/2?
Related questions
Question
Hello, I need help with all three parts can you label which part is which. By part I mean PART A,PART B, and Part C thank you and can you label them.
Transcribed Image Text:Problem 2: An early model of the atom, proposed by Rutherford after his
discovery of the atomic nucleus, had a positive point charge +Ze (the nu-
cleus) at the center of a sphere of radius R with uniformly distributed neg-
ative charge -Ze. Z is the atomic number, the number of protons in the
nucleus and the number of electrons in the negative sphere. Show that the
electric field strength inside this atom is
Ein =
Ze
1
4περ \r2 R³
a) Fig.2 illustrates the model of the atom. In the figure, draw the Gaussian
surface that you will use to find the field. Draw the vectors that represent
the electric field at the Gaussian surface. How do you know the direction of
the electric field inside the atom?
q=ze R
Ze
ง
P-
FIG. 2: The scheme for Prob-
lem 2
b) What is the volume charge density p. of the negative sphere? Use Gauss's law and the symmetry
arguments in order to find the expression for the electric field strength inside the atom. What is the electric
field strength outside this atom?
c) A uranium atom has Z = 92 and R = 0.10 nm. What is the electric field strength at r = R/2?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
