Question

A 50- load is attached to a 50-m section of the transmission line of Problem 10.1, and a 100-W signal is fed to the input end of the line. (a) Evaluate the distributed line loss in dB/m. (b) Evaluate the reflection coefficient at the load. (C) Evaluate the power that is dissipated by the load resistor. (d) What power drop in dB does the dissipated power in the load represent when compared to the original input power? (e) On partial reflection from the load, how much power returns to the input and what dB drop does this represent when compared to the original 100-W input power?

Answer 1

Final Answers

(a) -0.230 dB/m

(b) 0.500

(c) 40 W

(d) -3.010 dB

(e) 10 W, -10 dB

Step-by-step explanation

(a) -0.230 dB/m; The distributed line loss, calculated at -0.230 dB/m, indicates the attenuation experienced by the signal over each meter of the transmission line.

(b) 0.500; The reflection coefficient at the load stands at 0.500, illustrating the proportion of the signal that reflects back due to impedance mismatch.

(c) 40 W: The power dissipated by the load resistor equals 40 watts, depicting the actual power utilized by the load.

(d) -3.010 dB: Comparing the dissipated power at the load (40 W) to the original input power (100 W) results in a power drop of -3.010 dB, signifying the loss in decibels.

(e) 10 W, -10 dB: Partial reflection from the load leads to 10 watts of power returning to the input, showcasing a -10 dB drop concerning the original 100-W input power.