Physics-
General
Easy

Question

Two coils of self inductance L subscript 1 end subscript and L subscript 2 end subscript are placed closer to each other so that total flux in one coil is completely linked with other. If M is mutual inductance between them, then

  1. M equals L subscript 1 end subscript L subscript 2 end subscript    
  2. M equals L subscript 1 end subscript divided by L subscript 2 end subscript    
  3. M equals square root of L subscript 1 end subscript L subscript 2 end subscript end root    
  4. M equals left parenthesis L subscript 1 end subscript L subscript 2 end subscript right parenthesis to the power of 2 end exponent    

The correct answer is: M equals square root of L subscript 1 end subscript L subscript 2 end subscript end root


    M equals negative fraction numerator e subscript 2 end subscript over denominator d i subscript 1 end subscript divided by d t end fraction equals negative fraction numerator e subscript 1 end subscript over denominator d i subscript 2 end subscript divided by d t end fraction
    Also e subscript 1 end subscript equals negative L subscript 1 end subscript fraction numerator d i subscript 1 end subscript over denominator d t end fraction. e subscript 2 end subscript equals negative L subscript 2 end subscript fraction numerator d i subscript 2 end subscript over denominator d t end fraction
    M to the power of 2 end exponent equals fraction numerator e subscript 1 end subscript e subscript 2 end subscript over denominator open parentheses fraction numerator d i subscript 1 end subscript over denominator d t end fraction close parentheses   open parentheses fraction numerator d i subscript 2 end subscript over denominator d t end fraction close parentheses end fraction equals L subscript 1 end subscript L subscript 2 end subscript rightwards double arrow M equals square root of L subscript 1 end subscript L subscript 2 end subscript end root

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