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A cable under test shows 800 M\( \Omega \) at 20 \( ^\circ \)C. If the insulation resistance halves for every 10 degree rise, the reading at 40 \( ^\circ \)C would be about

  • A.400 M\( \Omega \)
  • B.80 M\( \Omega \)
  • C.1600 M\( \Omega \)
  • D.200 M\( \Omega \)

Answer: D

Twenty degrees is two steps of ten, so the resistance is halved twice, giving a quarter of the original: 200 megohms. This steep dependence is why insulation readings are always corrected to a stated reference temperature before they are compared with earlier records.

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