Physics-
General
Easy

Question

A 50 turns circular coil has a radius of 3   c m, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is

  1. 1.77   v o l t s    
  2. 17.7   v o l t s    
  3. 177   v o l t s    
  4. 0.177   v o l t s    

The correct answer is: 17.7   v o l t s


    e equals negative fraction numerator N left parenthesis B subscript 2 end subscript minus B subscript 1 end subscript right parenthesis A cos invisible function application theta over denominator capital delta t end fraction
    equals negative fraction numerator 50 left parenthesis 0.35 minus 0.10 right parenthesis cross times pi left parenthesis 3 cross times 1 0 to the power of negative 2 end exponent right parenthesis to the power of 2 end exponent cross times cos invisible function application 0 to the power of o end exponent over denominator 2 cross times 1 0 to the power of negative 3 end exponent end fraction equals 17.7   V.

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