Discussion
A coaxial cable has characteristic impedance of \(Z_{0}\) = 75 Ω and a capacitance of 70 PF/m. The inductance of the coaxial per metre length is given by
Answer: C
The inductance is 0.3937 microhenry per metre. For a coaxial line the characteristic impedance is \(Z_{0} = \sqrt{L/C}\), so \(L = Z_{0}^{2}C\).
\[ L = 75^{2}\times 70\times 10^{-12} \]
\[ L = 5625\times 70\times 10^{-12} \]
\[ L = 3.9375\times 10^{-7}\ \text{H/m} \]
That is 0.3937 µH/m. The other options are the same digits with the decimal point moved by one or two places, which would mean the capacitance was taken as 700 pF/m, 7 nF/m or 7 pF/m instead of 70 pF/m.
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