Physics-
General
Easy

Question

Two wires AO and OC carry currents i as shown in figure One end of both the wires extends to infinity angle A O C equals alpha, the magnitude of magnetic field at a point P on the bisector of the two wires at a distance r from O is

  1. fraction numerator mu subscript o end subscript i over denominator 2 pi r end fraction c o t invisible function application open parentheses fraction numerator alpha over denominator 2 end fraction close parentheses    
  2. fraction numerator mu subscript o end subscript i over denominator 4 pi r end fraction c o t invisible function application open parentheses fraction numerator alpha over denominator 2 end fraction close parentheses    
  3. fraction numerator mu subscript o end subscript i over denominator 2 pi r end fraction fraction numerator open parentheses 1 plus c o s invisible function application fraction numerator alpha over denominator 2 end fraction close parentheses over denominator sin invisible function application open parentheses fraction numerator alpha over denominator 2 end fraction close parentheses end fraction    
  4. fraction numerator mu subscript o end subscript i over denominator 4 pi r end fraction s i n invisible function application open parentheses fraction numerator alpha over denominator 2 end fraction close parentheses    

The correct answer is: fraction numerator mu subscript o end subscript i over denominator 2 pi r end fraction fraction numerator open parentheses 1 plus c o s invisible function application fraction numerator alpha over denominator 2 end fraction close parentheses over denominator sin invisible function application open parentheses fraction numerator alpha over denominator 2 end fraction close parentheses end fraction

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