Concept explainers
(a)
The electrostatic potential energy of the system when all of the charges are negative.
(a)
Answer to Problem 68P
The electrostatic potential energy of the system when all of the charges are negative is
Explanation of Solution
Given Data:
The charge on each particle is
The side of a square is
Formula used:
The expression for the work required to assemble the system of charges which is equal to the potential energy of the system is given as,
Calculation:
Figure (1)
The electrostatic potential energy of the system is calculated as,
Conclusion:
Therefore, the electrostatic potential energy of the system when all of the charges are negative is
(b)
The electrostatic potential energy of the system when three of the charges are positive and one of the charge is negative.
(b)
Answer to Problem 68P
The electrostatic potential energy of the system when three of the charges are positive and one of the charge is negative is zero.
Explanation of Solution
Given Data:
The charge on three particles is
The charge on fourth particle is
The side of a square is
Formula used:
The expression for the work required to assemble the system of charges which is equal to the potential energy of the system is given as,
Calculation:
The electrostatic potential energy of the system is calculated as,
Conclusion:
Therefore the electrostatic potential energy of the system when three of the charges are positive and one of the charge is negative is zero.
(c)
The electrostatic potential energy of the system when two adjacent corners are positive and other two are negative
(c)
Answer to Problem 68P
The electrostatic potential energy of the system when two adjacent corners are positive and other two are negative is
Explanation of Solution
Given Data:
The charge on first particle is
The charge on second particle is
The charge on third particle is
The charge on fourth particle is
The side of a square is
Formula used:
The expression for the work required to assemble the system of charges which is equal to the potential energy of the system is given as,
Calculation:
The electrostatic potential energy of the system is calculated as,
Conclusion:
Therefore the electrostatic potential energy of the system when two adjacent corners are positive and other two are negative is
(d)
The electrostatic potential energy of the system when the charges at two opposite corners are positive and other two are negative.
(d)
Answer to Problem 68P
The electrostatic potential energy of the system when the charges at two opposite corners are positive and other two are negative is
Explanation of Solution
Given Data:
The charge on first particle is
The charge on second particle is
The charge on third particle is
The charge on fourth particle is
The side of a square is
Formula used:
The expression for the work required to assemble the system of charges which is equal to the potential energy of the system is given as,
Calculation:
The electrostatic potential energy of the system is calculated as,
Conclusion:
Therefore, the electrostatic potential energy of the system when the charges at two opposite corners are positive and other two are negative is
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Chapter 23 Solutions
Physics for Scientists and Engineers
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