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AB is a resistance less conducting rod which forms a diameter of a conducting ring of radius r rotating in a uniform magnetic field B as shown. The resistors R subscript 1 end subscript and R subscript 2 end subscript do not rotate. Then current through the resistor R1 is

  1. fraction numerator B omega r to the power of 2 end exponent over denominator 2 R subscript t end subscript end fraction    
  2. fraction numerator B omega r to the power of 2 end exponent over denominator 2 R subscript 2 end subscript end fraction    
  3. fraction numerator B omega r to the power of fraction numerator blank over denominator s end fraction end exponent over denominator 2 R subscript 1 end subscript R subscript 2 end subscript end fraction open parentheses R subscript 1 end subscript plus R subscript 2 end subscript close parentheses    
  4. fraction numerator B omega r to the power of 2 end exponent over denominator 2 open parentheses R subscript 1 end subscript plus R subscript 2 end subscript close parentheses end fraction    

The correct answer is: fraction numerator B omega r to the power of 2 end exponent over denominator 2 R subscript t end subscript end fraction


    he equivalent diagram is : The induced emf across the centre and any point on the circumference is :

    table row cell vertical line stack e with rightwards arrow on top vertical line equals fraction numerator 1 over denominator 2 end fraction B omega l to the power of 2 end exponent equals fraction numerator B o r to the power of 2 end exponent over denominator 2 end fraction end cell row cell therefore text end text text C end text text u end text text r end text text r end text text e end text text n end text text t end text text end text text t end text text h end text text r end text text o end text text u end text text g end text text h end text text end text R subscript 1 end subscript minus fraction numerator B m r to the power of 2 end exponent over denominator 2 R subscript 1 end subscript end fraction end cell end table

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