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I have a doubt, kindly clarify. - Magnetic Effects of Current and Magnetism - JEE Main-3

A rigid square loop of side 'a' and carrying current I_{2} is lying on a horizontal surface near a long current I_{1} carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be :

  • Option 1)

     Repulsive \; and\; equal\; to\; \frac{\mu _{0}I_{1}I_{2}}{2\pi }

     

     

     

  • Option 2)

     Attractive \; and \; equal \; to \frac{\mu _{0}I_{1}I_{2}}{3\pi }

     

  • Option 3)

     Repulsive\; and \; equal\; to \frac{\mu _{0}I_{1}I_{2}}{4\pi }

  • Option 4)

    Zero

 
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F_{1}=\frac{\mu _{0} I_{1}I_{2}a}{2\pi a}=\frac{\mu _{0}I_{1}I_{2}}{2\pi }

F_{2}=\frac{\mu _{0}I_{1}I_{2}a}{2\pi.2a}=\frac{\mu _{0}I_{1}I_{2}}{4\pi }

F_{Total}=F_{1}-F_{2}

            =\frac{\mu _{0}I_{1}I_{2}}{2\pi }-\frac{\mu _{0}I_{1}I_{2}}{4\pi }

           =\frac{\mu _{0}I_{1}I_{2}}{4\pi }       to right Repulsive


Option 1)

 Repulsive \; and\; equal\; to\; \frac{\mu _{0}I_{1}I_{2}}{2\pi }

 

 

 

Option 2)

 Attractive \; and \; equal \; to \frac{\mu _{0}I_{1}I_{2}}{3\pi }

 

Option 3)

 Repulsive\; and \; equal\; to \frac{\mu _{0}I_{1}I_{2}}{4\pi }

Option 4)

Zero

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