Problem 4 (10 points) (Chap 3) (Learning objective: Wave Propagation in TEM transmission line)A voltage wave Voe-travels along a transmission line. The voltage is maximum at= x/4 and t = 0. The wavelength A is 10 cm. Write an expression for this voltage wave asa function of both position and time. Be sure to indicate numerical values in your solutionwhereever possible.

Step 1: Step 2: Step 3: Step 4:

Answered: Problem 4 (10 points) (Chap 3)…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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S=2.2
Phase shift due to finite length of circuit conductors. On a particular type of circuit board, assume a signal travels at 2/3 of the speed of light. Suppose a high-speed system using this type of board can tolerate a phase shift in a sine-wave signal due to propagation delay of only 15° before failing to work. Calculate the maximum length /MAX (in m, or a suitable subdivision such as cm or mm) that a circuit-board trace carrying this signal can have at each of the following frequencies without encountering excessive phase shift due to the propagation delay along the trace: (a) f=10MHz, (b) f=30MHz, (c) f=500 MHz, and (d) f=2.5 GHz.
(B) A commercial 50 92 Radio Shake coaxial cable is used to carry RF signal power from a transmitter to an antenna of 300 2 as a load through flat antenna transmission line with 300 2 characterstic impedance as shown in Figure 3. The above situation would happen if we connect the coaxial cable to the antenna without a matching techinque. Determine: 1- The reflection coefficient at junction B. 2- The input impedance at point A. 3- The reflection coefficient at junction A. 4- The fraction of the reflected power. 5- The fraction of the transmitted power to the antenna. 1²=0 5052 30052 (B) Z₁ = 30052 Figure 3
11.a. A fiber link has a polarization mode dispersion of 4.2 ps/√km. The fiber link is 5 km. What's the total polarization mode dispersion in this fiber?A. 1.9 psB. 9.4 psC. 0.84 psD. 21 ps 11.b. A transceiver has an extinction ratio of 6 in a fiber link. What's the extinction ratio power penalty?A. 1.5 dBB. 7.8 dBC. 1.1 dBD. 6 dB
3. Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer conductor. A dielectric fills the region between these conductors. Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20, and an outer conductor with an inner diameter of 3.7084 mm. Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute the…
3) Solve the cutoff frequency for the first mode and second mode of WR975 Wave guide TABLE 7.1 Some Standard Rectangular Waveguides Waveguide de signation a (in) b (in) t (in) fe, (GHz) Frequency range (GHz) WR975 9.750 4.875 0.125 0.605 0.75-1.12 WR650 6.500 3.250 0.080 0.908 1.12–1.70 WR430 4.300 2.150 0.080 1.375 1.70-2.60 WR284 2.840 1.340 0.080 2.08 2.60-3.95 WR187 1.872 0.872 0.064 3.16 3.95-5.85 WR137 1.372 0.622 0.064 4.29 5.85-8.20 WR90 0.900 0.450 0.050 6.56 8.2–12.4 WR62 0.622 0.311 0.040 9.49 12.4–18
Solve the cutoff frequency for the first mode and third mode of WR430 waveguide.
Communication system
We have discussed in class that a wire should be treated as a transmission line when its length exceeds an appreciable fraction of the wavelength. If this fraction is 1%, calculate the maximum frequencies at which you can neglect the transmission line effects for the following (assume the wave velocity is equal to speed of light in free space) and make the comparisons indicated: a. Power line of length 300 km (How does this frequency compare with the line frequency used for AC power?) b. Phone line of length 3 km c. USB cable of length 0.3 m (How does this compare with today's USB data rates?) d. CMOS circuit trace of length 300 μm (How does this compare with today's processor frequencies?)
A wave signal travelling along an electrical transmission line (usually called incident wave) will be reflected back in the opposite direction when the travelling signal encounters a discontinuity in the characteristic impe- dance. This can happen in real life if we join dissimilar transmission lines together. Signals travelling alone the line will be partially reflected at the junction (see illustration below; note that up to this point we have not asked you any question yet). Impedance Discontinuity Forward Current Propagating Voltage Wave Z01 Zo2 Return Current Z01 Zo2 Incident Wave Transmitted Wave Reflected Wave Transmission Line Reflection Suppose a transmission line with characteristic impedance Zo is terminated at one end with an impedance of ZL (recall that impedance is a complex number Z = X +iY where X is the resistance and Y is the reactance), then the reflection coefficient I' is given by the voltage reflection equation ZL – Zo ZL + Zo where I, ZL = XL + iYL, and Zo Xo +…
Answer the following questions with simple answer within few lines only. A. If the probability of error of BPSK is 0.85 then Pe of BFSK is? B. What happens to the radio wave propagation when the refractive index of ionospheric layer becomes low or high? C. If the number of quantization levels are multiplied by four time them how many numbers of bits are added to the actual number? D. What is the disadvantage of wave tilt? E. What is a bipolar line coding technique with phase encoding, and explain why it is named as phase encoding method? F. What is oblique communication circuit? G. What are the differences between DPCM and Delta Modulation? H. What is the change in bandwidth when channel capacity is doubled and two number of bits are increased?
Give a waveguide example that can support a TEM wave.

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