Physics-
General
Easy

Question

Three long, straight and parallel wires carrying currents are arranged as shown in the figure. The wire C which carries a current of 5.0 amp is so placed that it experiences no force. The distance of wire C from wire D is then

  1. 9 cm    
  2. 7 cm    
  3. 5 cm    
  4. 3 cm    

The correct answer is: 9 cm


    For no force on wire C, force on wire C due to wire D= force on wire C due to wire B
    rightwards double arrow fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction cross times fraction numerator 2 cross times 15 cross times 5 over denominator x end fraction cross times l equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction cross times fraction numerator 2 cross times 5 cross times 10 over denominator open parentheses 15 minus x close parentheses end fraction cross times l rightwards double arrow x equals 9 c m.

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