Physics-
General
Easy

Question

A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the loop and the magnitude of the field is increasing at a constant rate alpha.There is a straight conducting rod of length 2R placed as shown in figure .The magnitude of induced emf across the rod is

  1. pi R to the power of 2 end exponent alpha    
  2. fraction numerator pi R to the power of 2 end exponent alpha over denominator 2 end fraction    
  3. fraction numerator R to the power of 2 end exponent alpha over denominator square root of 2 end fraction    
  4. fraction numerator pi R to the power of 2 end exponent alpha over denominator 4 end fraction    

The correct answer is: fraction numerator pi R to the power of 2 end exponent alpha over denominator 4 end fraction


    Considering a square loop as shown, emf across the loops Error converting from MathML to accessible text.
    Error converting from MathML to accessible text.
    therefore magnitude of emf across one side Error converting from MathML to accessible text.

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