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Doubling both the plate area and the separation of a capacitor leaves its capacitance

  • A.halved
  • B.quadrupled
  • C.unchanged
  • D.doubled

Answer: C

The area appears in the numerator and the separation in the denominator, so doubling both cancels exactly. Recognising such a cancellation avoids recomputing the whole expression, and the same reasoning shows what happens when a capacitor is scaled up in every linear dimension at once.

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