
(a)
Find the wave frequency.
(a)

Answer to Problem 63P
The wave frequency is
Explanation of Solution
Calculation:
Write the expression for given incident electric field in medium-1 (air).
From the expression, the values of magnitude of incident electric field at
Consider the expression for phase constant of medium-1.
Rewrite the expression for the given data.
Rearrange the expression for wave frequency.
Substitute
Conclusion:
Thus, the wave frequency is
(b)
Find the wavelength of the signal in the air.
(b)

Answer to Problem 63P
The wavelength of the signal in the air is
Explanation of Solution
Calculation:
Consider the expression to find the wavelength of the signal in air (medium-1).
Substitute
Conclusion:
Thus, the wavelength of the signal in the air is
(c)
Find the loss tangent and intrinsic impedance of the ocean.
(c)

Answer to Problem 63P
The loss tangent and intrinsic impedance of the ocean are
Explanation of Solution
Calculation:
Consider the expression for loss tangent for nonmagnetic media.
Here,
Rewrite the Equation (2) for ocean surface (medium-2).
Substitute
Rearrange the expression for phase angle of the intrinsic impedance of the ocean surface.
Consider the expression to find the magnitude of the intrinsic impedance of the ocean surface.
Rewrite the expression for the given data.
Substitute 6.288 for
Conclusion:
Thus, the loss tangent and intrinsic impedance of the ocean are
(d)
Find the reflected and transmitted electric fields.
(d)

Answer to Problem 63P
The reflected and transmitted electric fields are
Explanation of Solution
Calculation:
Consider the expression for reflected electric field.
Here,
Consider the expression for reflected electric field at
Here,
Write the expression to find the reflection coefficient.
Here,
As the medium-1 is air (free space), the value of
Substitute
Substitute
Substitute
Consider the expression for transmitted electric field.
Here,
Consider the expression for attenuation constant for medium-2.
Rewrite the expression for the given data.
Substitute
Consider the expression for phase constant for medium-2.
Rewrite the expression for the given data.
Substitute
Consider the expression to find the magnitude of transmitted electric field at
Here,
Consider for the expression for transmission coefficient.
Substitute
Substitute
Substitute
Conclusion:
Thus, the reflected and transmitted electric fields are
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Chapter 10 Solutions
Elements Of Electromagnetics
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