Concept explainers
(a)
Calculate the normal component of magnetic field intensity
(a)
Answer to Problem 36P
The normal component of magnetic field intensity
Explanation of Solution
Calculation:
Given that,
Consider the expression for the normal unit
Here,
f is the plane surface function.
Substitute
Reduce the equation as follows,
The normal component of magnetic field intensity
Substitute
Conclusion:
Thus, the normal component of magnetic field intensity
(b)
Calculate the tangential component of magnetic field intensity
(b)
Answer to Problem 36P
The tangential component of magnetic field intensity
Explanation of Solution
Calculation:
Consider the general expression for the magnetic field intensity
Here,
Rearrange the equation (2) as follows,
Substitute
For a magnetic boundary condition,
Using equation (3),
Conclusion:
Thus, the tangential component of magnetic field intensity
(c)
Calculate the magnetic flux density
(c)
Answer to Problem 36P
The magnetic flux density
Explanation of Solution
Calculation:
Consider the expression for the magnetic boundary condition.
Substitute
Consider the general expression for the magnetic field intensity
Here,
Substitute
The magnetic flux density for region 2 is,
Here,
Substitute
Substitute
Conclusion:
Thus, the magnetic flux density
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Chapter 8 Solutions
Elements Of Electromagnetics
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