Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 5, Problem 5.15P
To determine
To sketch: A plot of
To find: The frequency so that the percentage error exceeds 2%
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a) What is the dominant mode if a<b in a rectangular waveguide? This mod's cutWhat is wavelength?b) If the waveguide is quadratic (a=b) the cutoff frequencies of the TM11, TE20 and TE02 modeswhat?c) Explain what SWR is.d) Connect a parallel plate capacitor to an ac source that changes değişen = ?0???(??)Calculate the displacement current (id) when you connect it. Comment the result.
A rectangular waveguide has dimensions a = 6 cm and b = 4 cm.a) Over what range of frequencies will the guide operate single mode?b) Over what frequency range will the guide support both TE10 and TE01modes and no others?
Chapter 5 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 5 - Starting with Maxwells equations for simple,...Ch. 5 - Derive (5.10) by starting with the phasor point...Ch. 5 - A wave with =6.0cm in air is incident on a...Ch. 5 - Suppose Hs(z)=Hys(z)ay. Start with (5.14) and...Ch. 5 - Given =1.0105S/m,r=2.0,r=50., and f=10.MHz, find...Ch. 5 - In some material, the constitutive parameters are...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - A 100-MHz wave in free space propagates in the y...
Ch. 5 - In a lossless, nonmagnetic material with...Ch. 5 - Given E=120cos(6106t0.080y)azV/m and...Ch. 5 - Work through the algebra to derive the and...Ch. 5 - Prob. 5.15PCh. 5 - In a medium with properties =0.00964S/m,r=1.0, and...Ch. 5 - Make a pair of plots similar to Figure 5.4 for the...Ch. 5 - Starting with (5.13), show that = for a good...Ch. 5 - Prob. 5.19PCh. 5 - Calculate the skin depth at 1.00 GHz for (a)...Ch. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - In a nonmagnetic material,...Ch. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - In air, H(z,t)=12.cos(106tz+/6)axA/m. Determine...Ch. 5 - A 600-MHz uniform plane wave incident in the z...Ch. 5 - Prob. 5.28PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - For a general elliptical polarization represented...Ch. 5 - Prob. 5.36PCh. 5 - Prob. 5.37PCh. 5 - Suppose medium 1(z0) is air and medium 2(z0) has...Ch. 5 - Suppose a UPW in air carrying an average power...Ch. 5 - Prob. 5.40PCh. 5 - Prob. 5.41PCh. 5 - Prob. 5.42PCh. 5 - Prob. 5.43PCh. 5 - Prob. 5.44PCh. 5 - Prob. 5.45PCh. 5 - A wave specified by Ei=100.cos(107t1z)axV/m is...Ch. 5 - A wave specified by Ei=12cos(2107t1z+/4)axV/m is...Ch. 5 - Prob. 5.48PCh. 5 - Prob. 5.49PCh. 5 - A randomly polarized UPW at 200 MHz is incident at...
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Similar questions
- a) What is the dominant mode if a<b in a rectangular waveguide? This mod's cutWhat is wavelength?b) If the waveguide is quadratic (a=b) the cutoff frequencies of the TM11, TE20 and TE02 modeswhat?c) Explain what SWR is.d) Connect a parallel plate capacitor to an ac source that changes değişen Vc = V0(sinwt)Calculate the displacement current (id) when you connect it. Comment the result.arrow_forwarda) Define Guide wavelength with the formula? b) A rectangular waveguide working in dominant electric mode has an operating frequency of 10 GHz and the highest cut-off wavelength the waveguide can allow is 4.58 cm. What is the broader dimension of the waveguide.arrow_forwardA rectangular waveguide measures 1.016 x 2.286 cm internally with a signal propagated in it. Complete the table below showing all mathematical expressions used in arriving at the answer. Mode Cut-off Wavelength in cm Cut-off frequency in Ghz 1 TE10 2 TE20 3 TE01 4 TE11 5 TM11 Explain the reasons for the cut-off wavelength and its importance to waveguide propagation.arrow_forward
- A material has an attenuation coefficient of 0.5 dB per centimeter and its scattering coefficient is negligibly small. What fraction of incident light can pass through a 2-centimeter thickness? a. 0.5 b. 0.25 c. 0.79 d. 0.01 e. None; the material is opaquearrow_forwardList the applications of Extremely Low Frequency band? State the range of its wavelength?arrow_forwardA 100az pC electric dipole is placed at the origin. Find V and E at the position (0, 0, 10). Ans: V = 9mV, E = 1.8ar mV/marrow_forward
- An air-filled rectangular waveguide has dimension of 3 cmm9 cm. The mode(s) that can propagate through the waveguide for an operating frequency of 9 GHz is/ are TE01 and TE10 TE10 only TE01, TE10 and TE20 O TE01 and TE20arrow_forward2.9. You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In order to meet the desired objectives, the main lobe of the pattern should have a half-power beamwidth of 10 degrees. In order to expedite the design, it is assumed that the major lobe of the normalized radiation intensity of the antenna is approximated by U(0, 4) = cos"(0) and it exists only in the upper hemisphere (0 <0 < x/2,0 <¢ < 2n). Determine the: (a) Value of n (not necessarily an integer) to meet the specifications of the major lobe. Keep 5 significant figures in your calculations. (b) Exact maximum directivity…arrow_forwardWhich of the following statement holds for the specific acoustic impedance? Select one: o a. ob. The near field tends of be purely imaginary with both the specific acoustic resistance and reactance approaching zero and the far field is a plane wave approximation with the specific acoustic resistance approaching poc and reactance approaching zero. od. The near field is a plane wave approximation with the specific acoustic resistance approaching poc and reactance approaching zero and the far field tends to be purely imaginary with both specific acoustic resistance and reactance approaching zero. O C. The near field is a plane wave approximation with the specific acoustic resistance approaching poc and reactance approaching zero and the far field tends to be purely real with specific acoustic resistance approaching infinity and reactance approaching zero. The near field tends of be purely real with both the specific acoustic resistance and reactance approaching zero and the far field is a…arrow_forward
- Q1: A circular waveguide is filled with a dielectric material that has er-3. If the cut-off frequency at the dominant mode is 8 GHz, find the mode that has a cutoff frequency of 13.27 GHz. a 1 2 134 4 n=0 3.83 7.01 10.17 13.32 n=1 1.84 5.33 8.53 11.70 n=2 3.05 6.70 9.96 13.17arrow_forwardX -rays of wavelength 0.20nm are scattered from a block of material. The scattered x-rays are observed at an angle of 45.0 degrees to the incident beam. Calculate the frequency of x- rays scattered at this angle. a. 0.2007x1018 Hz O b. 4.23x1020 Hz O c. 7.40x1020 Hz O d. 0.2007x1020 Hz O e. 1.4947x1018 Hzarrow_forward12.6 If in a rectangular waveguide for which a = 2b, the cutoff frequency for TE92 mode is 12 GHz, the cutoff frequency for TM, mode is (a) 3 GHz (b) 3V5 GHz (c) 12 GHz (d) 6V5 GHz (e) None of the abovearrow_forward
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