JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Critical Thinking

  • question_answer
    An infinitely long conductor PQR is bent to form a right angle as shown. A current I flows through PQR The magnetic field due to this current at the point M is H1. Now another infinitely long straight conductor QS is connected at Q so that the current is I/2 in QR as well as in QS, The current in PQ remaining unchanged. The magnetic field at M is now \[{{H}_{2.}}\]The ratio \[{{H}_{1}}/{{H}_{2}}\] is given by   [IIT-JEE (Screening) 2000]

    A)            \[\frac{1}{2}\]

    B)            1

    C)            \[\frac{2}{3}\]

    D)            2

    Correct Answer: C

    Solution :

                       Magnetic field at any point lying on the current carrying straight conductor is zero. Here H1 = Magnetic field at M due to current in PQ.         H2 = Magnetic field at M due to QR                 + magnetic field at M due to QS                 + magnetic field at M due to PQ             \[=0+\frac{{{H}_{1}}}{2}+{{H}_{1}}=\frac{3}{2}{{H}_{1}}\] Þ\[\frac{{{H}_{1}}}{{{H}_{2}}}=\frac{2}{3}\]


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