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The ratio of displacement current to conduction current in a medium of conductivity \( \sigma \) and permittivity \( \epsilon \) at angular frequency \( \omega \) is

  • A.\( \omega\epsilon/\sigma \)
  • B.\( \sigma/(\omega\epsilon) \)
  • C.\( \omega\sigma/\epsilon \)
  • D.\( \omega\epsilon\sigma \)

Answer: A

This dimensionless ratio, sometimes called the loss tangent's reciprocal, decides whether a medium behaves as a conductor or a dielectric at a given frequency. Copper is a conductor to well beyond optical frequencies; dry earth is a dielectric above a few megahertz.

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