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

  • question_answer
    Two concentric coils each of radius equal to \[2\pi \text{ }cm\] are placed at right angles to each other. 3 ampere and 4 ampere are the currents flowing in each coil respectively. The magnetic induction in \[Weber/{{m}^{2}}\] at the centre of the coils will be \[({{\mu }_{0}}=4\pi \times {{10}^{-7}}Wb/A.m)\]                         [AIEEE 2005]

    A)            \[5\times {{10}^{-5}}\]     

    B)            \[7\times {{10}^{-5}}\]

    C)            \[12\times {{10}^{-5}}\]  

    D)            \[{{10}^{-5}}\]

    Correct Answer: A

    Solution :

                       \[{{B}_{net}}=\sqrt{B_{1}^{2}+B_{2}^{2}}\] \[=\frac{{{\mu }_{0}}}{4\pi }.\frac{2\pi }{r}\sqrt{i_{1}^{2}+i_{2}^{2}}\] \[={{10}^{-7}}\times \frac{2\pi }{2\pi \times {{10}^{-2}}}\sqrt{{{(3)}^{2}}+{{(4)}^{2}}}=5\times {{10}^{-5}}\,wb/{{m}^{2}}\]


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