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The capacitance per unit length of a coaxial cable depends on the two radii through

  • A.the square of the ratio of the two radii
  • B.the logarithm of their ratio
  • C.the difference of the two radii
  • D.the ratio of the two radii directly

Answer: B

Integrating the inverse first power field between the conductors produces a logarithm, so the capacitance per unit length is \( 2\pi\epsilon/\ln(b/a) \). Because the dependence is logarithmic, quite large changes in the radii alter the capacitance rather little.

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