Physics-
General
Easy

Question

The wire loop formed by joining two semicircular sections of radii R1 and R2, carries a current I, as shown. The magnitude of magnetic of field at the centre C is

  1. fraction numerator mu subscript 0 end subscript I over denominator 2 end fraction open parentheses fraction numerator 1 over denominator R subscript 1 end subscript end fraction plus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close parentheses    
  2. fraction numerator mu subscript 0 end subscript I over denominator 4 end fraction open parentheses fraction numerator 1 over denominator R subscript 1 end subscript end fraction plus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close parentheses    
  3. fraction numerator mu subscript 0 end subscript I over denominator 2 end fraction open parentheses fraction numerator 1 over denominator R subscript 1 end subscript end fraction minus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close parentheses    
  4. fraction numerator mu subscript 0 end subscript I over denominator 4 end fraction open parentheses fraction numerator 1 over denominator R subscript 1 end subscript end fraction minus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close parentheses    

The correct answer is: fraction numerator mu subscript 0 end subscript I over denominator 4 end fraction open parentheses fraction numerator 1 over denominator R subscript 1 end subscript end fraction minus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close parentheses

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