Physics-
General
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Question

Four identical electrical lamps are labelled 1.5V, 0.5A which describes the condition necessary for them to operate at normal brightness. A 12V battery of negligible internal resistance is connected to lamps as shown, then

  1. The value of R for normal brightness of each lamp is (3/4) W    
  2. The value of R for normal brightness of each lamp is (21/4) W    
  3. Total power dissipated in circuit when all lamps are normally bright is 24W    
  4. Power dissipated in R is 21W when all lamps are normally bright    

The correct answer is: The value of R for normal brightness of each lamp is (21/4) W


    For normal brightness of each bulb see following circuit. Current through each bulb = 0.5 A

    So main current i equals 2 A
    Also, voltage across the combination equals 1.5 V
    So voltage across the resistance equals 10.5 V
    Hence for resistance V equals i R Þ10.5 equals 2 cross times R ÞR equals fraction numerator 21 over denominator 4 end fraction capital omega

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