Question

A lossless transmission line of length l=45 cm and characteristic resistance R0=50 ohms is driven by an idea voltage generator of rectangular pulse with magnitude E = 10V and duration T=2ns. At its other end, the line is terminated in a purely resistive load of RL = 200 ohms. The line velocity is equal to v = 1.5x10⁸ m/sec. Sketch the voltage at the load for 0 <= t <= 20n

Answer 1

To sketch the voltage at the load along a lossless transmission line, one must consider the line's physical characteristics, the pulse duration, the signal propagation speed, and the reflection coefficient determined by the characteristic and load resistances.

Step-by-step explanation:

The student's question involves analyzing a high-speed electrical signal transmission scenario in a lossless transmission line with a terminating resistive load. To sketch the voltage at the load for the given time frame, the physical characteristics of the transmission line, the signal, and the velocity of signal propagation need to be considered. Given the pulse duration (T=2ns), the length of the line (l=45 cm), and the velocity of signal propagation (v=1.5x10⁸ m/sec), we calculate the time it takes for the signal to reach the load and reflect back. The characteristic and load resistances (R0=50 ohms, RL=200 ohms) determine the reflection coefficient at the load, which affects the amplitude and polarity of the reflected pulse.