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Question

Two very thin metallic wires placed along X and Y-axis carry equal currents as shown here. AB and CD are lines at 45 degree with the axes with origin of axes at O. The magnetic field will be zero on the line

  1. AB    
  2. CD    
  3. Segment OB only of line AB    
  4. Segment OC only of line CD    

The correct answer is: AB


    Every point on line AB will be equidistant from X and Y-axis. So magnetic field at every point on line AB due to wire 1 along X-axis is equal in magnitude but opposite in direction to the magnetic field due to wire along Y-axis. Hence B subscript n e t end subscripton A B equals 0

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