(a)
Find the value of the attenuation constant due to the dielectric losses for the rectangular waveguide.
(a)
Answer to Problem 33P
The value of the attenuation constant due to the dielectric losses
Explanation of Solution
Calculation:
Write the expression to calculate the cutoff frequency for
Here,
Write the expression to calculate the phase velocity of uniform plane wave in the lossless dielectric medium.
Here,
Substitute
Substitute
Write the expression to calculate the loss tangent.
Here,
Rearrange the Equation (2) to find
Substitute
Simplify the above Equation.
Write the expression to calculate the intrinsic impedance of a uniform plane wave in the medium.
Here,
Substitute 1 for
Write the expression to calculate the attenuation constant due to the dielectric losses.
Substitute
Conclusion:
Thus, the value of the attenuation constant due to the dielectric losses
(b)
Find the value of the attenuation constant due to the conduction losses for the rectangular waveguide.
(b)
Answer to Problem 33P
The value of the attenuation constant due to the conduction losses
Explanation of Solution
Calculation:
Write the expression to calculate the attenuation constant due to conduction losses for the
Here,
Write the expression to calculate the real part of the intrinsic impedance of the conducting wall.
Here,
Substitute
Simplify the above Equation.
Substitute
Conclusion:
Thus, the value of the attenuation constant due to the conduction losses
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Chapter 12 Solutions
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