JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव JEE PYQ-Magnetic Effects Of Current

  • question_answer
    A metal sample carrying a current along X-axis with density \[{{J}_{x}}\] is subjected to a magnetic filed \[{{\operatorname{B}}_{z}}\] (along-z axis). The electric field \[{{\operatorname{E}}_{y}}\]developed along Y-axis is directly proportional to \[{{\operatorname{J}}_{x}}\] as well as \[{{B}_{z}}\]. The constant of proportionality as has SI unit.                          [JEE ONLINE 25-04-2013]

    A)             \[\frac{{{m}^{2}}}{A}\]    

    B) \[\frac{{{m}^{3}}}{A\operatorname{s}}\]

    C)             \[\frac{{{m}^{2}}}{A\operatorname{s}}\]

    D) \[\frac{{{\operatorname{A}}_{\operatorname{S}}}}{{{\operatorname{m}}^{3}}}\]

    Correct Answer: B

    Solution :

    [b] According to question \[{{E}_{y}}\propto {{J}_{x}}{{B}_{z}}\]
    \[\therefore \]Constant of proportionality
    \[K=\frac{{{E}_{y}}}{{{B}_{z}}{{J}_{x}}}=\frac{C}{{{J}_{x}}}=\frac{{{m}^{3}}}{As}\]
    [As\[\frac{E}{B}=C\](speed of light) and \[J=\frac{I}{Area}\]]


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