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

  1. $330\:\Omega$
  2. $100\:\Omega$
  3. $143.3\:\Omega$
  4. $43.4\:\Omega$
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