Show that the characteristic impedance for a pair of Lecher wires of radius $r$ and separation $d$ in a medium of permeability $\mu$ and permittivity $\varepsilon$ is given by $$ Z_{0}=\frac{1}{\pi} \sqrt{\frac{\mu}{\varepsilon}} \log _{e} \frac{d}{r} $$
Added by Luc-A W.
Step 1
For a pair of parallel wires, the characteristic impedance is given by: \[ Z_0 = \sqrt{\frac{L}{C}} \] where \( L \) is the inductance per unit length and \( C \) is the capacitance per unit length. Show more…
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