Concept explainers
(a)
The magnetic field as function of perpendicular distance
(a)
Answer to Problem 80P
The magnetic field as function of perpendicular distance
Explanation of Solution
Formula Used:
The relation for the magnetic is given by,
Calculation:
The magnetic field inside the cylinder
And,
The magnetic field between the cylinder is calculated as,
Conclusion:
Therefore, the magnetic field as function of perpendicular distance
(b)
The proof that the magnetic energy density in the region between the cylinder is by
(b)
Answer to Problem 80P
The proof that the magnetic energy density in the region between the cylinder is by
Explanation of Solution
Formula Used:
The expression for the magnetic energy density in the region between the cylinder is given by,
The magnetic field between the cylinder is given as,
Calculation:
The magnetic energy density in the region between the cylinder is calculated as,
Conclusion:
Therefore, the proof that the magnetic energy density in the region between the cylinder is by
(c)
The proof that the total magnetic energy in a cable of volume of length
(c)
Answer to Problem 80P
The proof that the total magnetic energy in a cable of volume of length
Explanation of Solution
Formula Used:
The magnetic energy density in the region between the cylinder is given by,
The magnetic energy
Calculation:
Integrate equation (I) over the limits
Conclusion:
Therefore, the proof that the total magnetic energy in a cable of volume of length
(d)
The proof that self inductance per unit length of the cab arrangement is given by
(d)
Answer to Problem 80P
The proof that self inductance per unit length of the cab arrangement is given by
Explanation of Solution
Formula Used:
The expression for the total magnetic energy is given by,
The energy in the magnetic in terms of
Calculation:
The self inductance per unit length is calculated as,
Conclusion:
Therefore, the proof that self inductance per unit length of the cable arrangement is given by
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Chapter 28 Solutions
Physics for Scientists and Engineers
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