Physics
Magnetic-Effects-Of-Current-And-Magnetism
Easy

Question

A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ be in equilibrium

  1. 25 mm    
  2. 50 mm    
  3. 75 mm    
  4. 100 mm    

The correct answer is: 25 mm


    Suppose in equilibrium wire PQ lies at a distance r above the wire AB
    Hence in equilibrium m g equals B i l rightwards double arrow m g equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction open parentheses fraction numerator 2 i over denominator r end fraction close parentheses cross times i l
    rightwards double arrow 1 0 to the power of negative 3 end exponent cross times 10 equals 1 0 to the power of negative 7 end exponent cross times fraction numerator 2 cross times left parenthesis 50 right parenthesis to the power of 2 end exponent over denominator r end fraction equals 0.5 Þ r equals 25 m m

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