Question 6.17: A 1 volt pulse propagates from z < 0 on a transmission li...

Fundamentals of Electromagnetics with Matlab

A 1 volt pulse propagates from z < 0 on a transmission line. The line is terminated in an open circuit @ z = 0. Four oscilloscopes are triggered by the same pulse generator and are located at:z_a = – 6 ; z_b = -4 ; z_c = -2 ; and z_d = 0 (meters). Find the velocity of propagation and interpret the voltage signals on the oscilloscopes. Sketch the corresponding voltage signals if the transmission line is terminated in a short circuit.

6.17

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

Question: 6.19

The attenuation on a 50 W distortionless transmission line is 0.01 (dB/m). The line has a capacitance of 0.1 x 10^- 9 (F/m). a) Find the values of the other transmission line elements. b) Find the velocity of wave propagation. ...

Verified Answer:

a) Since this is a distortionless transmission lin...

Question: 6.18

Find the complex propagation constant if the circuit elements satisfy the ratio R/ L =G/C . Interpret the propagation of such a signal that propagates on this line. ...

Verified Answer:

The complex propagation constant (6.77) can be wri...

Question: 6.15

Calculate the transmission coefficient Ƭ for a wave that is propagating in the +z direction in a coaxial cable. The relative dielectric constant of the separating dielectric in the region z 0 is 3. The physical dimensions of the cable are the same in all regions. ...

Verified Answer:

Using (6.65) and the results given in Table 6-2, w...

Question: 6.14

A battery with zero internal impedance has an open circuit voltage of 100 volts. At a time t = 0, this battery is switched into a 50 Ω air-dielectric coaxial cable via a 150 Ω resistor. The cable is 300 m long and is terminated in a load of 33.3Ω. (a) Sketch a bounce diagram for the first 4 µs ...

Verified Answer:

(a) The two reflection coefficients and the incide...

Question: 6.21

(a) Find the phase and group velocities for a normal transmission line depicted below. (b) Find the phase and group velocities for a transmission line in which the circuit elements are interchanged. ...

Verified Answer:

(a) From (6.77), we write

\gamma=\alpha+j ...

Question: 6.13

A 12 V battery is connected via a switch to a transmission line that is 6 m long. The characteristic impedance of the transmission line is 50 Ω, the battery impedance is 25 Ω, and the terminated in a load impedance of 25 Ω. The velocity of propagation along this transmission line is 2 x 10^6 m/s ...

Verified Answer:

The amplitude of the wave that is launched on the ...

Question: 6.12

A load admittance has the value yL = 0.2 − j0.5 . Find the locations where a matching admittance should be placed. In addition, find the value for the matching admittance. ...

Verified Answer:

The input admittance will have the value yin = 1 ±...

Question: 6.11

A load impedance ZL = 50 + j50 Ω terminates a transmission line that is 5 meters long and has a characteristic impedance of Zc = 25 Ω. Using the Smith chart, find the impedance at the signal generator if the frequency of oscillation f = 1 x 10^5 Hz. The phase velocity for this transmission line is ...

Verified Answer:

The wavelength λ is

\lambda=\frac{v}{f}=\fr...

Question: 6.10

On the simplified Smith chart, locate the normalized impedances (a) z = 1 + j0; (b) z = 100 + j100; (c) z = 0 + j0; (d) z = 0 – j1; and (e) z = 1 + j2. ...

Verified Answer:

The real and the imaginary parts of the reflection...

Question: 6.9

A lossless transmission line is terminated with an impedance whose value that is ½ the characteristic impedance on the line. What impedance should you put in parallel with the line λ/4 in front of the load to minimize the reflection of the wave from the signal generator? ...

Verified Answer:

In order to reduce the reflection, the parallel co...