Physics-
General
Easy

Question

One conducting U-tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed v, then the emf induced in the circuit in terms of B comma blank l a n d blank v comma blank w h e r e blank l is the width of each tube, will be

  1. B l v  
  2. negative B l v  
  3. Zero   
  4. 2 B l v  

The correct answer is: 2 B l v


    Relative velocity equals v minus open parentheses negative v close parentheses equals 2 v equals fraction numerator d l over denominator d t end fraction
    Now, e equals fraction numerator d ϕ over denominator d t end fraction
    e equals fraction numerator B l d l over denominator d t end fraction open parentheses fraction numerator d l over denominator d t end fraction equals 2 v close parentheses
    Induced emf e equals 2 blank B l v

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