Physics-
General
Easy

Question

Determine the magnetic field at the centre of the current carrying wire arrangement shown in the figure. The arrangement extends to infinity. (The wires joining the successive squares are along the line passing through the centre)

  1. fraction numerator mu subscript 0 end subscript i over denominator square root of 2 pi a end fraction    
  2. 0    
  3. fraction numerator 2 square root of 2 mu subscript 0 end subscript i over denominator pi a end fraction l n invisible function application 2    
  4. none of these    

The correct answer is: fraction numerator 2 square root of 2 mu subscript 0 end subscript i over denominator pi a end fraction l n invisible function application 2


    stack B with rightwards arrow on top subscript text dac tofint bop  end text end subscript equals 4 fraction numerator mu subscript 0 end subscript i over denominator 4 pi fraction numerator a over denominator 2 end fraction end fraction open square brackets cos invisible function application 45 to the power of 0 end exponent plus cos invisible function application 45 to the power of 0 end exponent close square brackets equals fraction numerator 2 square root of 2 mu subscript 0 end subscript i over denominator pi a end fraction
    stack B with rightwards arrow on top equals fraction numerator 2 square root of 2 mu subscript 0 end subscript i over denominator pi a end fraction open square brackets 1 minus fraction numerator 1 over denominator 2 end fraction plus horizontal ellipsis horizontal ellipsis horizontal ellipsis horizontal ellipsis comma infinity close square brackets equals fraction numerator 2 square root of 2 mu subscript 0 end subscript i over denominator pi a end fraction l n invisible function application 2

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