Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 6, Problem 6.57P
To determine
To plot: A pulse of given time duration using Fourier series
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As an assignment for antenna course work, you are asked to design a mobile phone antenna which is suitable for a 4G LTE mobile cellular radio system, let’s assume the centre frequency is 2500 MHz.
i)What are the general design issues you should take into account?
ii)What are the TWO most important parameters in terms of its performance? And what are the expected values?
The audio power of the human voice is concentrated at about 300 Hz. Antennas of the appropriate size for this frequency are impracticably large, so that to send voice by radio the voice signal must be used to modulate a higher (carrier) frequency for which the natural antenna size is smaller.
a) What is the length of an antenna one-half wavelength long for sending radio at 300 Hz?
b) Suppose we would like a half-wave antenna to have a length of 2 m. What carrier frequency would we use?
c) Suppose a transmitter produces 100W of power. Express the transmit power in units of dBm and dBW.
d) If the transmitter's power is applied to a unity gain antenna with a 900-MHz carrier frequency, what is the received power in dBm at a free space distance of 100 m?
Chapter 6 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Modify (6.3) to include internal inductance of the...Ch. 6 - Prob. 6.5PCh. 6 - The specifications for RG-214 coaxial cable are as...Ch. 6 - For the RG-214 coax of Problem 6.6 operating at...Ch. 6 - If 1.0 W of power is inserted into a coaxial...Ch. 6 - Starting with a 1 .0-mm-diameter solid copper...Ch. 6 - A coaxial cable has a solid copper inner conductor...Ch. 6 - Prob. 6.11P
Ch. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - A source with 50- source impedance drives a 50-...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - The input impedance for a 30.-cm length of...Ch. 6 - For the lossless T-line circuit shown in Figure...Ch. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Repeat Problem 6.14 using the Smith Chart.Ch. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - On a 50- lossless T-line, the VSWR is measured as...Ch. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Referring to Figure 6.20, suppose we measure...Ch. 6 - A matching network, using a reactive element in...Ch. 6 - A matching network consists of a length of T-line...Ch. 6 - You would like to match a 170- load to a 50-...Ch. 6 - A load impedance ZL=200+j160 is to be matched to a...Ch. 6 - Repeat Problem 6.34 for an open-ended shunt-stub...Ch. 6 - A load impedance ZL=25+j90 is to be matched to a...Ch. 6 - Repeat Problem 6.36 for an open-ended shunt-stub...Ch. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - The top-down view of a microstrip circuit is shown...Ch. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Actual pulses have some slope to the leading and...Ch. 6 - Prob. 6.59P
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- .Antennas and Propagation The audio power of the human voice is concentrated at about 300 Hz. Antennas of the appropriate size for this frequency are impracticably large, so that to send voice by radio the voice signal must be used to modulate a higher (carrier) frequency for which the natural antenna size is smaller. a)What is the length of an antenna one-half wavelength long for sending radio at 300 Hz? b)Suppose we would like a half-wave antenna to have a length of 2 m. What carrier frequency would we use? c)Suppose a transmitter produces 100W of power. Express the transmit power in units of dBm and dBW. d)If the transmitter's power is applied to a unity gain antenna with a 900-MHz carrier frequency, what is the received power in dBm at a free space distance of 100 m?arrow_forwardAn FM broadcast transmitter has a bandwidth of 164 kHz and deviation ratio of 15. Suppose the carrier frequency is 98.7 MHz, what the maximum allowable modulating frequency (in kHz)?arrow_forwardA power spectral density has a roughly Gaussian shape for which the mean is at 10000Hz and the standard deviation of the distribution is 100 Hz. Bearing in mind what we know about the Gaussian distribution, estimate the proportion of power that lies in the region that is in EXCESS of 10300Hz, if the TOTAL power in the signal is 10 Watts.arrow_forward
- Type your question here An AM signal of 50 ???? power is transmitted in a frequency range 200 − 210 kHz in a transmission channel with power spectral density shown in figure. below. Calculate signal-to-noise ratio in the transmission channel.arrow_forwarddiscuss how the information signal is recovered from an FM signal using slope detectorarrow_forwardPlease answer completely what are being asked and please write neatly. Thanks! A 75 MHz carrier having an amplitude of 50 V is modulated by a 3 kHz audio signal that has an amplitude of 20 V. d. Determine the modulation factor. e. What frequencies would show up in a spectrum analysis of the modulated wave? f. Write trigonometric equations for the carrier and the modulating waves.arrow_forward
- 1)the average value of the signal is? /2) the effective value of the signal is?arrow_forwardFrom an operational point of view, what are the major differences between the Yagi-Uda and the log-periodic antennas? Explain, with the aid of diagrams.arrow_forward: Suppose you have the following information signal ?(?) = 4sin(4000?? + 90) modulates with the following carrier signal ?(?) = sin(4000000?? + 90) to produce the 8KHz peak frequency deviation. Compute: 1. The FM expression in the time domain. 2. The frequency sensitivity constant. 3. FM signal bandwidth.arrow_forward
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