Chapter 11, Problem 8P

(a)

To determine

Prove that at high frequencies $\left(R\ll \omega L,G\ll \omega L\right)$ the propagation constant is $\gamma \simeq \left(\frac{R}{2}\sqrt{\frac{C}{L}}+\frac{G}{2}\sqrt{\frac{L}{C}}\right)+j\omega \sqrt{LC}$.

(b)

To determine

Derive a similar formula for characteristic impedance $Z_{\text{o}}$ as shown in Part (a).