b) Given that the attenuation constant for TEM waves propagating on an air-filled cable is: a 11 R 4πZ₁ a +2) where R₁ = b μland Z₁= 60 In 20 In (1) a Where a and b are the inner and outer radii of the cable respectively. Show that for minimum losses the ratio of the inner and outer radii is b/a = 3.6. Evaluate the corresponding characteristic impedance.
b) Given that the attenuation constant for TEM waves propagating on an air-filled cable is: a 11 R 4πZ₁ a +2) where R₁ = b μland Z₁= 60 In 20 In (1) a Where a and b are the inner and outer radii of the cable respectively. Show that for minimum losses the ratio of the inner and outer radii is b/a = 3.6. Evaluate the corresponding characteristic impedance.
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Transcribed Image Text:b) Given that the attenuation constant for TEM waves propagating on an
air-filled cable is:
α
R
4πZ a b
wp
20
+2) where R and Z₁ = 60 In
In (1)
Where a and b are the inner and outer radii of the cable respectively. Show
that for minimum losses the ratio of the inner and outer radii is b/a = 3.6.
Evaluate the corresponding characteristic impedance.
HINT: Partially differentiate with respect to a holding b constant
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