JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Force and Torque on a Current Carrying Conductor

  • question_answer
    Two thin long parallel wires separated by a distance b are carrying a current i amp each. The magnitude of the force per unit length exerted by one wire on the other is  [CPMT 1991; IIT 1986; Bihar MEE 1995; RPMT 1997; MP PET 1996; MP PMT 1994, 96, 99; UPSEAT 2001, 03]

    A)            \[\frac{{{\mu }_{0}}{{i}^{2}}}{{{b}^{2}}}\]                    

    B)            \[\frac{{{\mu }_{0}}{{i}^{2}}}{2\pi b}\]

    C)            \[\frac{{{\mu }_{0}}i}{2\pi b}\]                                         

    D)            \[\frac{{{\mu }_{0}}i}{2\pi {{b}^{2}}}\]

    Correct Answer: B

    Solution :

               Force per unit length \[=\frac{{{\mu }_{0}}}{4\pi }.\frac{2{{i}_{1}}{{i}_{2}}}{r}=\frac{{{\mu }_{0}}}{2\pi }.\frac{{{i}^{2}}}{b}\]


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