Concept explainers
(a)
The value of
(a)
Answer to Problem 77P
The value of
Explanation of Solution
Given:
The distribution of charge density is
The value of most probable distance of electron from the proton is
Formula used:
The expression for charge in a spherical shell is given by,
Calculation:
The value of
Using the integral table,
On comparing and solving further,
Conclusion:
Therefore, the value of
(b)
The electrostatic potential as a function of the distance
(b)
Answer to Problem 77P
The electrostatic potential as a function of the distance
Explanation of Solution
Formula used:
The expression for electrostatic potential of the proton is given by,
The expression for the charge of the proton is given by:
The expression for electrostatic potential of the electron is given by,
The total electrostatic potential of the system is given by:
Calculation:
The charge of the proton is calculated as
Using the integral table,
The electrostatic potential of the proton is calculated as,
Similarly,
Using the integral table,
The net electrostatic potential is calculated as:
Conclusion:
Therefore,the electrostatic potential as a function of the distance
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Chapter 23 Solutions
Physics for Scientists and Engineers
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- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University