Concept explainers
The surfaces
(a)
The enclosed volume.
Answer to Problem 1.23P
The enclosed volume is 6.28
Explanation of Solution
Given information:
For the closed surface,
Concept used:
Volume=
Calculation:
Substituting the values in equation (1), we get
Conclusion:
Therefore, the enclosed volume is 6.28.
(b)
Total area of the enclosing surface.
Answer to Problem 1.23P
Total area of the enclosing surface is 20.7.
Explanation of Solution
Given information:
For the closed surface,
Concept used:
Area=
Calculation:
Substituting the values in equation (2), we get
Further integrating we have,
Conclusion:
Therefore, the total area of the enclosing surface is 20.7
(c)
Total length of the twelve edges of the surfaces.
Answer to Problem 1.23P
Total length of the twelve edges of the surfaces is 22.4.
Explanation of Solution
Given information:
For the closed surface,
Concept used:
Calculation:
From equation (3), we get
Conclusion:
Therefore, the total length is 22.4.
(d)
The length of the longest straight line that lies entirely within the volume.
Answer to Problem 1.23P
The length of the longest straight line that lies entirely within the volume is 3.21.
Explanation of Solution
Given information:
For the closed surface,
Concept used:
Calculation:
The longest straight line will be between the points
Now converting A and B to Cartesian co-ordinates,
For A ,
Therefore,
For B ,
Therefore,
So, from equation (4),
Conclusion:
Therefore, the total length is 3.21.
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Chapter 1 Solutions
Engineering Electromagnetics
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