Exercise 10 Compare the distances required for a uniform plane wave to travel in seawater (o = 4 S/m, €, = 81, µ, = 1) in order that the amplitude of the wave is reduced by 80 dB (a factor of 10 000) at the following frequencies: (a) 1 21 kHz, (b) 10 kHz, (c) 100 kHz, (d) 1 MHz, (e) 10 MHz, (f) 100 MHz. Show that the attenuation of the amplitude in dB is -8.69ad, where a is the attenuation constant and d the distance. State whether seawater is a good conductor or a good dieletric at each frequency. This illustrates why communication with submarines uses very low frequencies in the kHz range. (Ans: Good conductor for all frequencies, (a) 73.3 т, (b) 23.2 т, (с) 7.33 т, (d) 2.32 т, (е) 0.733 т, (f) 23.2 ст).

Exercise 10 Compare the distances required for a uniform plane wave to travel in seawater (o = 4 S/m, €, = 81, µ, = 1) in order that the amplitude of the wave is reduced by 80 dB (a factor of 10 000) at the following frequencies: (a) 1 21 kHz, (b) 10 kHz, (c) 100 kHz, (d) 1 MHz, (e) 10 MHz, (f) 100 MHz. Show that the attenuation of the amplitude in dB is -8.69ad, where a is the attenuation constant and d the distance. State whether seawater is a good conductor or a good dieletric at each frequency. This illustrates why communication with submarines uses very low frequencies in the kHz range. (Ans: Good conductor for all frequencies, (a) 73.3 т, (b) 23.2 т, (с) 7.33 т, (d) 2.32 т, (е) 0.733 т, (f) 23.2 ст).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Exercise 10 Compare the distances required for a uniform plane wave to travel
in seawater (o = 4 S/m, er = 81, µ„
wave is reduced by 80 dB (a factor of 10 000) at the following frequencies: (a) 1
1) in order that the amplitude of the
21
kHz, (b) 10 kHz, (c) 100 kHz, (d) 1 MHz, (e) 10 MHz, (f) 100 MHz. Show that
the attenuation of the amplitude in dB is -8.69ad, where a is the attenuation
constant and d the distance. State whether seawater is a good conductor or
a good dieletric at each frequency. This illustrates why communication with
submarines uses very low frequencies in the kHz range. (Ans: Good conductor
for all frequencies, (а) 73.3 т, (b) 23.2 т, (с) 7.33 т, (d) 2.32 т, (е) 0.733
т, (f) 23.2 ст).

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