Question
Asked Oct 22, 2019
3E0, and uHo) and
for two
4. For uniform plane wave propagation in (i) ice (o 106 S/m, 8
(ii) seawater (a= 4 S/m,
frequencies: (a)f 1 GHz and (b) f= 100 kHz
1
80co, and uo), compute a, ß, A, 8, and
p
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3E0, and uHo) and for two 4. For uniform plane wave propagation in (i) ice (o 106 S/m, 8 (ii) seawater (a= 4 S/m, frequencies: (a)f 1 GHz and (b) f= 100 kHz 1 80co, and uo), compute a, ß, A, 8, and p

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Step 1

Write the expression for attenuation constant, phase constant, wavelength, skin depth and velocity

12
пз
2
J1+
-1
а 3 о,
оЕ
В - о,
2
1
ое
2л
2 =
В
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12 пз 2 J1+ -1 а 3 о, оЕ В - о, 2 1 ое 2л 2 = В

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Step 2

(i) (a) Substituting the values for ice and 1 GHz frequency

(3x 8.85x10-12 C2/N-m2(1.257x10-5 H/m
2.7(1 GHz
2
12
4ice
(10 S/m
-1
2T(1 GHz) (3x8.85 x 10-12
(3x8.85x10-12 C2/N - m2 (1.257x10- H/m
2T(1 GHz)
1/2
36.3 m
Brice
(10 S/m
+1
27T(1 GHz)(3x8.85 x 10~12 )
27T
=0.173 m
2 =
(36.3 m2
0
2(0.173 m (1 GHz) =1.73 x108 m/s
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(3x 8.85x10-12 C2/N-m2(1.257x10-5 H/m 2.7(1 GHz 2 12 4ice (10 S/m -1 2T(1 GHz) (3x8.85 x 10-12 (3x8.85x10-12 C2/N - m2 (1.257x10- H/m 2T(1 GHz) 1/2 36.3 m Brice (10 S/m +1 27T(1 GHz)(3x8.85 x 10~12 ) 27T =0.173 m 2 = (36.3 m2 0 2(0.173 m (1 GHz) =1.73 x108 m/s

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Step 3

(i) (b) Substituting the values fo...

(3x8.85x10-2 C2/N -m2(1.257x10- Hm
2π(100 kHz
2
12
0
(10 S/m
27T(100 kHz (3x 8.85 x10~12|
1+
-1
3x 8.85x10-12 C/N»m2)(1.257x10 H/m
2π (100 ΚH
2
3.63x10-3 m
12
(10 S/m
+1
27T(100 kHz (3x 8.85 x10~12|
=1730 m
(3.63x103 m1
5-1
0
2=(1730 m) (100 kHz) = 1.73 x103 m/s
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(3x8.85x10-2 C2/N -m2(1.257x10- Hm 2π(100 kHz 2 12 0 (10 S/m 27T(100 kHz (3x 8.85 x10~12| 1+ -1 3x 8.85x10-12 C/N»m2)(1.257x10 H/m 2π (100 ΚH 2 3.63x10-3 m 12 (10 S/m +1 27T(100 kHz (3x 8.85 x10~12| =1730 m (3.63x103 m1 5-1 0 2=(1730 m) (100 kHz) = 1.73 x103 m/s

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