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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ffe1087-b356-4afd-895c-32160dfc4175%2Ffb054e6e-a7f3-4a8d-ab93-e35f5eecdb8a%2F0t80bjd_processed.png&w=3840&q=75)
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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