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A parallel plate capacitor is half filled with a dielectric slab covering the whole area but only half the gap. The arrangement behaves as

  • A.a single capacitor with the mean permittivity
  • B.a single capacitor with the higher of the two permittivities
  • C.two capacitors in series
  • D.two capacitors in parallel

Answer: C

The same flux passes through both layers in turn, so the voltages across them add and the capacitances combine as a series pair. Had the slab covered half the area over the whole gap the combination would have been parallel instead.

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