Answer to Question #304931 in Electricity and Magnetism for Rhulani

Question

A copper microstrip transmission line is to be designed for a 100 Ω characteristic impedance. The substrate is 0.51 mm thick, 𝜀𝑟 = 2.2 and tan δ = 0.001.

At 5 GHz, find:

3.1.1. The guide wavelength on the line (in cm) and;

3.1.2. The total attenuation in dB/cm.

Answer 1

$\lambda=\frac {c}{\nu\sqrt{e_r}}=8.4~cm,$

$A=\gamma R\frac L{\sin\phi}=64~\frac{dB}{cm}.$