JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Critical Thinking

  • question_answer
    Two coaxial solenoids 1 and 2 of the same length are set so that one is inside the other. The number of turns per unit length are \[{{n}_{1}}\] and \[{{n}_{2}}\]. The currents \[{{i}_{1}}\] and \[{{i}_{2}}\] are flowing in opposite directions. The magnetic field inside the inner coil is zero. This is possible when                                        [Roorkee 2000]

    A)            \[{{i}_{1}}\ne {{i}_{2}}\] and \[{{n}_{1}}={{n}_{2}}\]

    B)            \[{{i}_{1}}={{i}_{2}}\]and \[{{n}_{1}}\ne {{n}_{2}}\]

    C)            \[{{i}_{1}}={{i}_{2}}\] and \[{{n}_{1}}={{n}_{2}}\]

    D)            \[{{i}_{1}}{{n}_{1}}={{i}_{2}}{{n}_{2}}\]

    Correct Answer: C

    Solution :

     \[{{B}_{net}}={{B}_{1}}-{{B}_{2}}\Rightarrow {{B}_{1}}-{{B}_{2}}=0\Rightarrow {{B}_{1}}={{B}_{2}}\] \[\Rightarrow B\propto ni.\]So \[{{n}_{1}}{{i}_{1}}={{n}_{2}}{{i}_{2}}\]or \[{{n}_{1}}={{n}_{2}}\,\text{and }{{i}_{1}}={{i}_{2}}\]


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