Concept explainers
(a)
The expression for the charge
(a)
Answer to Problem 57P
The expression for the charge
Explanation of Solution
Given Data:
The radius of a spherical shell is
The thickness of spherical shell is
Formula used:
The expression for the charge
Here,
Calculation:
The expression for the charge
Conclusion:
Therefore, the expression for the charge
(b)
The expression for the potential
(b)
Answer to Problem 57P
The expression for the potential
Explanation of Solution
Formula used:
The expression for the potential in the interval of
Calculation:
The expression for the potential is calculated as,
Conclusion:
Therefore, the expression for the potential
(c)
The potential at
(c)
Answer to Problem 57P
The potential at
Explanation of Solution
Formula used:
The expression for the potential
Calculation:
Integrate the above expression in the interval of
Conclusion:
Therefore, the potential at
(d)
The expression for the potential
(d)
Answer to Problem 57P
The expression for the potential
Explanation of Solution
Formula used:
The expression for the potential at radius
Calculation:
The potential at radius
The value of
Substitute the value of
Conclusion:
Therefore, the expression for the potential
(e)
The potential at
(e)
Answer to Problem 57P
The potential at
Explanation of Solution
Formula used:
The expression for the potential
Calculation:
Integrate the above expression from
Conclusion:
Therefore, the potential at
(f)
The total potential
(f)
Answer to Problem 57P
The total potential
Explanation of Solution
Formula used:
The expression for the potential at
The expression for the potential at
Calculation:
The total potential
Conclusion:
Therefore, the total potential
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Chapter 23 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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