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Moving Charges And Magnetism

Question
CBSEENPH12039705

The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of 100 W and 200 V lamp when not in use?

  • 40 Ω

  • 20 Ω

  • 400 Ω

  • 200 Ω

Solution

A.

40 Ω

straight R subscript hot space equals space straight V squared over straight P space equals space fraction numerator 200 space straight x space 200 over denominator 100 end fraction
space equals space 400 space straight capital omega
Cold space resistance space equals space straight R subscript hot divided by 10 space equals space 400 divided by 10 space equals space 40 space straight capital omega space