DUMET Medical DUMET Medical Solved Paper-2009

  • question_answer
    A long straight wire of a circular cross-section (radius\[a\]) carries a steady current\[I\]and the current\[I\]is uniformly distributed across this cross-section. Which of the following plots represents the variation of magnitude of magnetic field B with distance r from the centre of the wire?

    A)  

    B)

    C)    

    D)    

    Correct Answer: A

    Solution :

     Magnetic field inside a conductor [if \[r\le a\]] \[{{B}_{in}}=\frac{{{\mu }_{0}}I}{2\pi {{a}^{2}}}.\,\,r\] or \[{{B}_{in}}\propto r\] and magnetic field outside the conductor [if \[r\ge a\]] \[{{B}_{out}}=\frac{{{\mu }_{0}}I}{2\pi r}\] \[B\propto \frac{1}{r}\] Hence, graph [a] is correct.


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