Physics-
General
Easy

Question

An electric motor runs a DC source of emf 200V and draws a current of 10A. If the efficiency is 40%, then the resistance of the armature is

  1. 5capital omega  
  2. 12blank capital omega  
  3. 120blank capital omega  
  4. 160blank capital omega  

The correct answer is: 12blank capital omega


    Here, eta equals fraction numerator e over denominator E end fraction cross times 100
    fraction numerator 40 over denominator 100 end fraction equals fraction numerator e over denominator E end fraction
    rightwards double arrow e equals fraction numerator 2 E over denominator 5 end fraction equals fraction numerator 2 cross times 200 over denominator 5 end fraction equals 80 blank V
    ButI equals fraction numerator E minus e over denominator R end fraction
    therefore 10 equals fraction numerator 200 minus 80 over denominator R end fraction
    10 R equals 120
    therefore R equals 12 capital omega

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