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Question

A conducting rod of length 2l is rotating with constant angular speed w about its perpendicular bisector. A uniform magnetic field Error converting from MathML to accessible text. exists parallel to the axis of rotation. The e.m.f. induced between two ends of the rod is

  1. Bomegal2    
  2. fraction numerator 1 over denominator 2 end fraction B omega l to the power of 2 end exponent    
  3. fraction numerator 1 over denominator 8 end fraction B omega l to the power of 2 end exponent    
  4. Zero    

The correct answer is: Zero


    Sol. Potential difference between
    O and A is V subscript 0 end subscript minus V subscript A end subscript equals fraction numerator 1 over denominator 2 end fraction B l to the power of 2 end exponent omega
    O and B is V subscript 0 end subscript minus V subscript B end subscript equals fraction numerator 1 over denominator 2 end fraction B l to the power of 2 end exponent omega
    so V subscript A end subscript minus V subscript B end subscript equals 0

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