CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    PQ and RS are long parallel conductors   separated by certain distance. M is the midpoint between them (see the figure). The net magnetic field at M is B. Now, the current 2 A is switched off. The field at M now becomes

    A) 2 B                                         

    B) B

    C) \[\frac{B}{2}\]

    D) 35

    Correct Answer: B

    Solution :

    Magnetic field at midpoint M in first case is                 \[B={{B}_{PQ}}-{{B}_{RS}}\] (\[\because \,{{B}_{PQ}}\] and \[{{B}_{RS}}\] are in opposite directions)                 \[=\frac{4{{\mu }_{0}}}{4\pi d}-\frac{2{{\mu }_{0}}}{4\pi d}\]                 \[=\frac{2{{\mu }_{0}}}{4\pi d}\] When the current 2 A is switched off, the net magnetic field at M is due to current 1A                 \[B'=\frac{{{\mu }_{0}}\times 2\times 1}{4\pi d}=B\]


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