Concept explainers
To show that the electrical electrostatic potential energy of the nucleus is
Answer to Problem 77CP
The electric electrostatic potential energy is
Explanation of Solution
Write the expression for the electric field inside the nucleus (small sphere of radius R).
Here,
Write the expression to calculate charge density.
Here, Z is the atomic number, e is the electric charge and R is the radius of the nucleus.
Substitute the above equation in the expression for
Write the expression to calculate the electric field outside the nucleus.
Here,
Write the expression to calculate the electrostatic potential energy of the nucleus.
Here, U is the electrostatic potential energy and
Write the expression for
Substitute the equations (I), (II) and (IV) in (III) to calculate U.
Reduce the above equation to calculate U.
Write the expression for the coulomb constant.
Substitute the above equation in the expression for U to rewrite.
Conclusion:
Therefore, the electric electrostatic potential energy is
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Chapter 44 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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