Question

A finitely long transmission line has f-100 MHz, R'-1 m Ω m, L,-1 μHm, C'-2 pF/m, and G'-o s. Calculate Zo and the propagation constant γ of the . line. Assume 30 w is flowing down the line at z-0. How much power is flowing at z = 3 m? (we will do this part on Next class) Remember: Rave (z) = Vol2 e-2 z cos(ez ) (W). what is Zo y, the phase velocity Up wavelength λ and period T? 2 1Zol

Answer 1

F = 100 mhz omega = 2 pi f 626 ad/sec R^' = 1 m ohm /m L^' = 1 mu /m C^' = 2 pf/m G = os Theoretically characteristic Impedance of a transmission line defined as squareroot R^' + j omega L/G + j omega c^' = squareroot 1 tomes 10^- 3 + j 628 times 10^6 times 1 times 10^- 6/0 + j 628 times 10^6 times 2 times 10^- 12 squareroot 10^9/j 628 times 2 + 1/2 times 10^6 squareroot 0.5 times 10^6 - 0.79 times 10^6 j 10^3 squareroot 0.5 - 0.79 j = 10^3 (0.847 - 0.466 j) Z_o = 847 - 466 J ohm Propogation constant (r) defined as r = alpha + jB = squareroot (R^' + j omega L) (G + j omega C) = squareroot (1 times 10^- 3 + j 628 times 10^6 times 10^- 6)