Concept explainers
(a) Find the potential at a distance of 1.00 cm from a proton. (b) What is the potential difference between two points that are 1.00 cm and 2.00 cm from a proton? (c) Repeat parts (a) and (b) for an electron.
(a)
The potential difference at a distance from proton.
Answer to Problem 7P
The potential difference at a distance from proton is
Explanation of Solution
Write the equation for the potential difference.
Here,
Conclusion:
Substitute
Thus, the potential difference at a distance from proton is
(b)
The potential difference between the points from proton.
Answer to Problem 7P
The potential difference between the points from proton is
Explanation of Solution
Write the expression for the potential difference between the points from proton.
Write the equation for the potential difference at a distance 1.00cm.
Here,
Write the equation for the potential difference at a distance 2.00cm.
Here,
Rewrite the expression (II) by using (III) and (IV).
Conclusion:
Substitute
Thus, the potential difference between the points from proton is
(c)
The potential difference at a distance from electron.
Answer to Problem 7P
The potential difference at a distance from electron is
Explanation of Solution
Write the equation for the potential difference.
Here,
Conclusion:
Substitute
Thus, the potential difference at a distance from electron is
(d)
The potential difference between the points from electron.
Answer to Problem 7P
The potential difference between the points from electron is
Explanation of Solution
Write the expression for the potential difference between the points from electron.
Write the equation for the potential difference at a distance 1.00cm.
Here,
Write the equation for the potential difference at a distance 2.00cm.
Here,
Rewrite the expression (II) by using (III) and (IV).
Conclusion:
Substitute
Thus, the potential difference between the points from electron is
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Chapter 20 Solutions
Principles of Physics: A Calculus-Based Text
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