QUESTION

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A lossless 20 -km long coaxial cable whose characteristic impedance is $45.5 \Omega$ has the propagation velocity of $0.7 c(c=$ speed of light). Calculate (a) the capacitance per unit length and the inductance per unit length, (b) the ratio of the outer radius over the inner radius of this coaxial cable, (c) the relative permittivity of the dielectric between the outer and inner conductors of the cable. Answers: (a) $L_{\mathrm{u}}=\cdots ; C_{\mathrm{u}}=1.0466 \times 10^{-10}(\mathrm{~F} / \mathrm{m})(0.1047(\mathrm{nF} / \mathrm{m}))$; (b) $\ldots ;$ (c) $\varepsilon_{\mathrm{r}}=\ldots$​​​​​​​

given ε=1

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