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The permittivity of free space has units of

  • A.coulombs per square metre
  • B.volts per metre
  • C.farads per metre
  • D.metres per farad

Answer: C

It appears in the capacitance of a parallel plate capacitor as \( \epsilon_0 A/d \), where the area over the separation is a length, so the constant itself must be a capacitance per unit length. Its value is \( 8.854 \times 10^{-12} \) F/m.

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