
Concept explainers
(a)
The force on the point charge before the hemispheres are assembled around
(a)

Answer to Problem 3.1P
The force on a point charge
Explanation of Solution
Given:
The central charge
Calculation:
The force on the point charge
The force on
The direction of the force is radially outward, the repulsive force from
Conclusion:
The force on
(b)
The force on the point charge after the hemispheres are assembled but before they are discharged.
(b)

Answer to Problem 3.1P
Force on the point charge is
Explanation of Solution
Given:
The central charge
Calculation:
In this case, when a hemisphere with radius a is assembled around
The force on
The direction of the force is radially outward, the repulsive force from
Conclusion:
The force on
(c)
The force on the point charge after the hemispheres are assembled and after they are discharged
(c)

Answer to Problem 3.1P
The force on the point charge is zero after the hemispheres are assembled and discharged.
Explanation of Solution
Given:
The central charge
Calculation:
Since the outer surface of the hemisphere is grounded, the effective charge over the outer surface due to
Conclusion:
The force between the two charges when the hemispheres are discharged is
(d)
The condition when charge
(d)

Answer to Problem 3.1P
The force will become attractive.
Explanation of Solution
The central charge
It is considered that
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Chapter 3 Solutions
Engineering Electromagnetics
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