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Doubling the field in a region changes the stored energy density to

  • A.twice its former value
  • B.half its former value
  • C.the same value
  • D.four times its former value

Answer: D

Correct answer: four times its former value

Energy density goes as \( E^2 \), so doubling the field quadruples it. That square is why the energy in a capacitor rises so steeply with voltage, and why the field concentration at a sharp point matters so much for breakdown.

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