JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Biot-savart's Law and Amperes Law

  • question_answer
    The earth's magnetic induction at a certain point is \[7\times {{10}^{-5}}Wb/{{m}^{2}}.\] This is to be annulled by the magnetic induction at the centre of a circular conducting loop of radius 5 cm. The required current in the loop is [MP PET 1999; MP PMT 2002]

    A)    0.56 A                              

    B)    5.6 A

    C)    0.28 A                              

    D)    2.8 A

    Correct Answer: B

    Solution :

       \[\frac{{{\mu }_{0}}}{4\pi }\times \frac{2\pi i}{r}=H\Rightarrow \frac{({{10}^{-7}})\times 2\times 3.142\times i}{0.05}=7\times {{10}^{-5}}\]                                               \[\therefore \,i=\frac{7\times 0.05\times {{10}^{-5}}}{2\times 3.142\times {{10}^{-7}}}=\frac{35}{2\times 3.142}=5.6\] amp


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