Concept explainers
(a) Determine s on the transmission line of Figure 10.32. Note that the dielectric is air. (b) Find the input impedance. (c) If
Figure 10.32 See Problem 10.20.
(a)
The value ofs on the transmission line.
Answer to Problem 10.20P
The value of son the transmission line is 2.
Explanation of Solution
Given:
The given figure is shown below.
Concept Used:
The term s is calculated by
Calculation:
The reflection coefficient is
The magnitude of the reflection coefficient is,
The standing wave ratio is calculated as
Conclusion:
The value of s in the transmission line is 2.
(b)
The input impedance.
Answer to Problem 10.20P
The input impedance of the transmission line is
Explanation of Solution
Given:
The given figure is shown below.
Concept Used:
The input impedance is calculated by
Calculation:
The input impedance of the transmission line is calculated as
Let
Conclusion:
The input impedance of the transmission line is
(c)
The source current
Answer to Problem 10.20P
The source current is
Explanation of Solution
Given:
Calculation:
The source current is calculated by
Let
Conclusion:
Thus, the source current is
(d)
The value of L which produces maximum value for
Answer to Problem 10.20P
The value of L which produces maximum value for
Explanation of Solution
Given:
The given circuit is shown below.
Concept Used:
The maximum value of L is calculated by
Calculation:
The magnitude of the source current is,
Differentiating with respect to L,
Conclusion:
The value of L which produces maximum value for
(e)
The average power delivered by the source.
Answer to Problem 10.20P
The average power delivered by the source is,
Explanation of Solution
Given:
The given circuit is shown below.
Concept Used:
The average power is calculated by
Calculation:
Considering the real part only
Average power is calculated as
Conclusion:
Thus, the average power delivered by the source is,
(f)
Average power delivered to ZL.
Answer to Problem 10.20P
The average power delivered to the load is
Explanation of Solution
Given:
Concept Used:
The average power delivered is calculated by
Calculation:
Thus, the total power delivered to the load is
Conclusion:
Thus, the average power delivered to the load is
Want to see more full solutions like this?
Chapter 10 Solutions
Engineering Electromagnetics
- Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following figure. 110 10 92 2592 The circuit shown in the given figure is represented in the phasor (frequency) domain. If 10 = 9235° A, V = 10/35°, and I = 2/35⁰ A. Across what type of element does V appear, and what is its value? (You must provide an answer before moving on to the next part.) The solution is Ω.arrow_forward10.1 Sketch and fully label the impedance diagram (also show the exact value for the magnitude and phase angle of Zt) for the following expression: Zt = 20 – j455 ohm.arrow_forwardcommunacition systmsarrow_forward
- 4. Determine the period length N, normalized average power Px, and RMS value of this discrete-time signal x[n] x[n] = 6 0 where the values of the signal in a single period are given by - & o} 6 ↑ n 3, 1.5, 2, 4,arrow_forwardPlease categorize every item (a-d) for the solutions.arrow_forwardIn the circuit shown in Figure 10.29, find the transfer function H(o)= Vo/Vin. с HH 0.25 F in Figure 10.29 a. H(o)= b. H(o)= c. H (@) = R₁ 492 d. H(@) = L 0.5 H R₂ ΖΩ (1/3) (jw)² (ja)²+(10/3) jo+6 (1/3)(jw)² (jo)² + (10/3) jo+5 (1/3)(jw)² (jo)² + (10/3) jo+17/3 (1/3)(jw)² (jo)² + (10/3) jo+16/3 +arrow_forward
- B) An FM signal e(t)FM = 20 cos (210¹t+ 6 sin 2x10³) exist over 5002 resistive load, determine: 1. Total output power. 2. The amplitude of the third sideband. 3. The percentage power of fifth sideband to the total output power. 4. The Max. frequency deviation. 5. The BW required to transmit this signal. J. Js Bessel Table J6 J7 J8 J9 J10 J11 J12 J13 J14 J15 J16 B Jo 0.00 1.00 1.00 0.77 0.44 0.11 0.02 2.00 0.22 0.58 0.35 0.13 0.03 3.00 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 4.00 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 - 0.13 0.05 0.02 5.00 -0.18-0.33 0.05 0.36 0.39 0.26 6.00 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 7.00 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 - 8.00 0.17 0.23 -0.11 -0.29 -0.10 0.19 0.34 0.32 0.22 0.13 0.06 0.03arrow_forwardcommunucation systems help pls can you do i and ii ( if its possible iii also would be very grateful)arrow_forwardAn e.m.f. “e" is given by: e = 40 + 150Sinωt + 30Sin(2ωt-π/4) + 10Sin(4ωt-π/3) +⋯volts With a fundamental frequency of 50 Hz, “e” supplies a series connection of a 100 ohms resistor and 15µF capacitor. Determine a. The r.m.s. value of the voltage b. The amplitude of the second harmonic of the circuit current c. The phase angle of the fourth harmonic of the current d. The r.m.s. value of the circuit current e. The apparent power consumed by the circuit f. The overall power factorarrow_forward
- Question: (a) Find the input impedance. Zin, of the circuit shown below by using the concept of reflected impedance or other method of your choice. (b) If a voltage source of 5 V rms is connected to the input of the circuit, what is the current supplied by the source? j10 0 j40 0 25 0 80 wwe j30 Q j20 Q -j60 68°F Sunnyarrow_forwardQuestion 1 (a) A sinusoidal voltage signal with a maximum magnitude of 1.0 V is superimposed on a 3.0 V DC voltage. i. Write down the total instantaneous value of the combined voltages. ii. Sketch the superimposed voltage and labeled its values. (b) A voltage amplifier is used to amplify radio signals from the antenna in a car radio system. The incoming radio signal voltage from the antenna, vs = 500 mV and its resistance is Rs = 100 N. Assume the open circuit voltage gain of the amplifier, 100 and the output resistance is 1 kn. i. Design the amplifier by finding its input resistance, R; if the amplifier voltage gain (vo/vs) is given as 20. ii. If the amplifier output is connected to a speaker (load), find the new amplifier voltage gain (vo/vs) if the load resistance, R1 value is 1 kn. (c) An inverting amplifier is shown in Fig. 1(c). The circuit has output voltage –9 V when its input voltage is 2 V. If the load resistance and output current of the amplifier are 2 kl and 2.5 mA…arrow_forward! Required information Consider the circuit given below. 282 w 200 mH R ell M 100 ΚΩ 10 μF If R= 9.00 Q, determine the frequency at which it has maximum amplitude. The value of frequency is 707.108 rad/s. The maximum amplitude is kQ. (Round the final answer to three decimal places.)arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,