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A coaxial cable with an inner diameter of 1 mm and outer diameter of 2.4 mm is filled with a dielectric of relative permittivity 10.89. Given μ0 = 4π × 10-7 H/m,  F/m. The characteristic impedance of the cable is 

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. 33 Ω
  2. 43.4 Ω
  3. 143.3 Ω
  4. 16 Ω

Answer (Detailed Solution Below)

Option 4 : 16 Ω
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Detailed Solution

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Inductance unit per length of coaxial cable:

L = 

Capacitance unit per length of coaxial cable:

C = 

Characteristics impedance of the cable is given as:

Z0 =  = 

= 

= 16 Ω

Here, option 4 is correct.

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