Chapter 10, Problem 10.13P

The skin effect mechanism in transmission lines is responsible for the increase with frequency of the line resistance per meter. Specifically, resistance scales as the square root of frequency f according to R = A₀f^1/2 where A₀ is a constant. Consider a low-loss line in which the attenuation coefficient is approximated by Eq. (54a), the phase constant by the first term in (54b), and the characteristic impedance by Eq. (24). The conductance per unit length, G, is zero. The $50-\Omega$ line has a measured power Loss of 10.0 dB over a 100-m length at f = 100 MHz. (a) Find the value of A₀ and the line resistance per meter at 100 MHz. (b) At the line input, a 10-W power transmitter is attached. At the far end of the line, a $100-\Omega$ load impedance is attached. How much power is dissipated by the load at frequency 400 MHz?

Figure 10.29 See Problem 10.15.