12th Class Physics Magnetism Question Bank Case Based (MCQs) - Magnetism and Matter

  • question_answer
    The current density in a wire a is:

    A) greater than in wire c

    B) less than in wire c

    C) equal to that in wire c

    D) not comparable to that of in wire c due to lack of information

    Correct Answer: B

    Solution :

    (b) less than in wire c Inside the wire             \[B(r)=\frac{{{\mu }_{0}}}{2\pi }\frac{l}{{{R}^{2}}}r\Rightarrow \,\,\frac{dB}{dr}=\frac{{{\mu }_{0}}}{2\pi }\frac{l}{{{R}^{2}}}r\]             i.e., Slope \[\propto \frac{l}{\pi {{R}^{2}}}\propto \] Current density


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