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Question

A conducting circular loop is placed in a uniform magnetic field 0.04 blank T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 blank m m divided by s. The induced e m f in the loop when the radius is 2 blank c m is

  1. 3.2 blank pi mu V  
  2. 4.8 blank pi mu V  
  3. 0.8 blank pi mu V  
  4. 1.6 blank pi mu V  

The correct answer is: 3.2 blank pi mu V


    open vertical bar e close vertical bar equals fraction numerator d ϕ over denominator d t end fraction equals B fraction numerator d A over denominator d t end fraction equals B fraction numerator d over denominator d t end fraction open parentheses pi r to the power of 2 end exponent close parentheses equals 2 pi B r fraction numerator d r over denominator d t end fraction

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