Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 13, Problem 13.16P
To determine
The group velocity of the
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I need a complete and correct solution, please
Suppose that X and Y have the following joint probability distribution
y
24
1 [0.1
0.15]
P(X,Y) = x3 0.2
0.3
50.1
0.15]
a) Evaluate the marginal distribution of X and Y
b) Find P(Y/X) and P(X/Y).
c) Find P(Y=2/X=3).
d) Find μx, Hy, σ,σ and oxy.
Chapter 13 Solutions
Engineering Electromagnetics
Ch. 13 - The conductors of a coaxial transmission line are...Ch. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Find R, L, C, and G for a two-wire transmission...Ch. 13 - Prob. 13.5PCh. 13 - Consider an air-filled coaxial transmission line...Ch. 13 - Pertinent dimensions for the transmission line...Ch. 13 - A transmission line constructed from perfect...Ch. 13 - Prob. 13.9PCh. 13 - Two microstrip lines are fabricated end-to-end on...
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - For the guide of Problem 13.14, and at the 32 GHz...Ch. 13 - Prob. 13.16PCh. 13 - A parallel-plate guide is partially filled with...Ch. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Two rectangular waveguides are joined end-to-end....Ch. 13 - Prob. 13.21PCh. 13 - Consider the TE11 mode in a rectangular guide...Ch. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.28PCh. 13 - An asymmetric slab waveguide is shown in Figure...Ch. 13 - A step index optical fiber is known to be single...Ch. 13 - Prob. 13.31PCh. 13 - Prob. 13.32P
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- Suppose that X and Y have the following joint probability distribution 2 1 [0.1 y 4 0.151 P(X,Y) = x3 0.2 0.3 50.1 0.15 a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3). d) Find μx, μy, σ,σ and oxy.arrow_forwardPrelab Information Laboratory Preliminary Discussion Second-order RLC Circuit Analysis The second-order RLC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with R, RL, and Rs are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. ZI(s) Zc(s) Rs w RL ww + + VRS(S) VRL(S) VL(s) Vc(s) VR(S) R Vs(s) Figure 1: A second-order RLC circuit represented in the s-domain. To generate the s-domain expression for the output voltage, Vout(s) = VR(S), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. For equation 1 we define the following circuit parameters. RT=RS + RL + R where: R₁ = Total series resistance Rs Signal generator output resistance (fixed) Inductor internal…arrow_forwardCan you show how the correct answer was found.arrow_forward
- For the circuit shown in Figure (1). Solve the following: ( A. What type of logic does it represent? C. Explain the function of D1. B. What type of logic family does it belong to? D. Explain the importance of DL. E. How many stages it has? Explain the function of each one. F. Construct the truth table and explain it briefly. G.How can you convert this circuit to an open collector form? Explain and sketch it. H.How can you convert this circuit to a tri-state form? Explain and sketch it. I. How can you prevent the transistors from being saturated? J. Which transistor should be modified to convert this circuit to a 4-inputs NAND? Explain and sketch it. K.Convert this circuit to a 2-inputs NOR gate and draw it. R-1200 R-4.2K R-1.5K R-IK Figure (1) lour e Yourarrow_forwardE. How many stages it has? Explain the function of each one. F. Construct the truth table and explain it briefly. G.How can you convert this circuit to an open collector form? Explain and sketch it. H.How can you convert this circuit to a tri-state form? Explain and sketch it. I. How can you prevent the transistors from being saturated? J. Which transistor should be modified to convert this circuit to a 4-inputs NAND? Explain and sketch it. K.Convert this circuit to a 2-inputs NOR gate and draw it. R-4.2K W R-1200 R-1.5K R-IK Figure (1) JOUT e Yourarrow_forward1. Determine the z-transform, including the region of convergence (ROC), of the following signals: a）x［n=｛3,0,0,0,0,51-4｝ b) x2[n] = ((1/3)^n ,n ≥0 2", n < 0 c) X3[n]= (1/3)^n- 2", n ≥ 0 0, n < 0arrow_forward
- Use ECL configuration to realize a 2-inputs OR /NOR gate and verify its function using the truth table, showing the state of each transistor in the circuit. Assume Vcc 5V, VEE-0V & VREF=1.5V.arrow_forwardTwenty-five signals, ten of them have 3.4 kHz bandwidth, the other have bandwidth of 5 kHz are FDM/TDM multiplexed then modulated by an RF carrier of 800 kHz using AM modulator: Calculate minimum multiplexing and transmission bandwidths. Calculate the guard band (BWGuard) to be added between each two signals and below the first one to result a multiplexing bandwidth of 131.5 kHzarrow_forwardAn FDM is used to multiplex two groups of signals using AM-SSB, the first group contains 25 speech signals, each has maximum frequency of 4 kHz, the second group contains 15 music signals, each has maximum frequency of 10 kHz. A guard bandwidth of 500 Hz is used between each two signals and before the first one. 1. Find the BWmultiplexing 2. Find the BWtransmission if the multiplexing signal is modulated using AM-DSB-LC.arrow_forward
- A single tone is modulated using FM transmitter. The SNR; at the input of the demodulator Is 20 dB. If the maximum frequency of the modulating signal is 4 kHz, and the maximum frequency deviation is 12 kHz, find the SNR, and the bandwidth (using Carson rule) at the following conditions: 1. For the given values of fm and Af. 2. If the amplitude of the modulating signal is increased by 80%. 3. If the amplitude of the modulating signal is decreased by 50%, and frequency of modulating signal is increased by 50%.arrow_forwardFM station of 100 MHz carrier frequency modulated by a 20 kHz sinusoid with an amplitude of 10 volt, so that the peak frequency deviation is 25 kHz determine: 1) The BW of the FM signal. 2) The approximated BW if the modulating signal amplitude is increased to 50 volt. 3) The approximated BW if the modulating signal frequency is increased by 70%. 4) The amplitude of the modulating signal if the BW is 65 kHz.arrow_forwardb) The joint probability function for the random variables X and Y is given in Table below. Find a) the marginal probability function of X and Y. P(Y/X) and P(X/Y). c) P(X ≥ 2, Y ≤ 2) y 1 2 3 10.05 0.05 0.1 P(X, Y) = X 20.05 0.1 0.35 3 0 0.2 0.1arrow_forward
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