GATE EC 2012 Electromagnetics Solution Q 3

GATE EC 2012 Electromagnetics Solution Q 3

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 \mu_0=4\pi\times10^{-7}H/m, \varepsilon_0=\frac{10^{-9}}{36\pi}F/m, the characteristic impedance of the cable as

(a) 330 Ω

(b) 100 Ω

(c) 143.3 Ω

(d) 43.4 Ω

Ans : Not Present

Explanation

For a co-axial cable,

Z_0=\frac{138}{\sqrt{\in_r}}\log\frac Dd =\frac{138}{\sqrt{10.89}}\log\left(\frac{2.4}1\right)=15.89\Omega

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