(a)
The value of
Answer to Problem 9.18P
The value is
Explanation of Solution
Given Information:
Breadth, b = 4 cm
Diameter, d = 8 mm
Magnetic field,
Magnetic permeability,
Dielectric constant of the medium,
Calculation:
Comparing with the general magnetic field expression
We get,
Velocity of the electromagnetic wave inside the material/medium is,
Speed of light in vacuum is
Therefore, we get
Hence,
Thus, we get
Conclusion:
Thus, the value is
(b)
The displacement current density at z = 0.
Answer to Problem 9.18P
The displacement current density is
Explanation of Solution
Given Information:
Breadth, b = 4cm
Diameter, d = 8mm
Magnetic field,
Magnetic permeability,
Dielectric constant of the medium,
Calculation:
The displacement current density,
Therefore,
At z = 0 we get,
Conclusion:
The displacement current density is,
(c)
The total displacement current crossing the surface.
Answer to Problem 9.18P
The total displacement current is,
Explanation of Solution
Given Information:
Breadth, b = 4cm
Diameter, d = 8mm
Magnetic field,
Magnetic permeability,
Dielectric constant of the medium,
Calculation:
Total displacement current, crossing the surface is derived as:
Using the identity
Conclusion:
The total displacement current is
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Chapter 9 Solutions
Engineering Electromagnetics
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