Question 2.6: ATTENUATION CONSTANT OF THE COAXIAL LINE In Example 2.1 the ...
ATTENUATION CONSTANT OF THE COAXIAL LINE In Example 2.1 the L, C, R, and G parameters were derived for a lossy coaxial line. Assuming the loss is small, derive the attenuation constant from (2.85a)
\ \alpha \simeq \frac{1}{2} \left(R\sqrt{\frac{C}{L} }+G\sqrt{\frac{L}{C} } \right) =\frac{1}{2} \left(\frac{R}{Z_{0}} +GZ_{0}\right) with the results from Example 2.1.
From (2.85a),
\ \alpha \simeq \frac{1}{2} \left(R\sqrt{\frac{C}{L} }+G\sqrt{\frac{L}{C} } \right).
Using the results for R and G derived in Example 2.1. gives
where\ \eta =\sqrt{\mu /\epsilon ^{\prime }} is the intrinsic impedance of the dielectric material filling the coaxial line. In addition,
\ \beta =\omega \sqrt{LC} =\omega \sqrt{\mu \epsilon ^{\prime }} and Z_{0}=\sqrt{L/C} =\left(\eta /2\pi \right) \ln b/aRelated Answered Questions
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