Concept explainers
(a)
The electric potential at the origin due to single charge particle.
(a)
Answer to Problem 66AP
The electric potential at the origin due to single charge particle is
Explanation of Solution
Write the expression of the electric potential due to single point charge.
Here,
Conclusion:
Substitute
Therefore, the electric potential at the origin due to single charge particle is
(b)
The electric potential at the origin due to two charge particle.
(b)
Answer to Problem 66AP
The electric potential at the origin due to two charge particle is
Explanation of Solution
Write the expression of the electric potential due to group of point charge.
Here,
For two point chargers the above equation is given as.
Here,
Conclusion:
Substitute
Therefore, the electric potential at the origin due to two charge particle is
(c)
The electric potential at the origin due to four charge particle.
(c)
Answer to Problem 66AP
The electric potential at the origin due to four charge particle is
Explanation of Solution
Write the expression of the electric potential due to group of point charge.
Here,
For four point chargers the above equation is given as.
Here,
Conclusion:
Substitute
Therefore, the electric potential at the origin due to four charge particle is
(d)
The electric potential given by the exact expression and compare the result.
(d)
Answer to Problem 66AP
The electric potential at the origin based on exact expression is
Explanation of Solution
Write the given exact expression of electric potential.
Here,
Conclusion:
Substitute,
Thus, the electric potential based on given expression is
In all the values of electric potential in all four parts, the largest value is
Therefore, the electric potential at the origin is
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Chapter 25 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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