JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Self Evaluation Test - Moving Charges and Mangetism

  • question_answer
    An electric charge \[+q\] moves with velocity \[10m{{s}^{-1}}\]in an electromagnetic field given by \[\overset{\to }{\mathop{E}}\,=3\hat{i}+\hat{j}+2\hat{k}\] and \[\overset{\to }{\mathop{B}}\,=\hat{i}+\hat{j}-3\hat{k}\] The y- component of the force experienced by \[+q\] is:

    A) \[11\,\,q\]

    B) \[5\,q\]

    C) \[3\,q\]

    D) \[2\,q\]

    Correct Answer: A

    Solution :

    [a] Lorentz force acting on the particle \[\overset{\to }{\mathop{F}}\,=q\left[ \overset{\to }{\mathop{E}}\,+\overset{\to }{\mathop{v}}\,\times \overset{\to }{\mathop{B}}\, \right]\] \[=q\left[ 3\hat{i}+\hat{j}+2\hat{k}+\hat{i}(-12-1)-\hat{j}(-9-1)+k(3-4) \right]\] \[{{F}_{y}}=11q\hat{j}\]


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