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

  • question_answer
    An electron is revolving round a proton, producing a magnetic field of 16 weber/m2 in a circular orbit of radius 1Å. It?s angular velocity will be                        [RPMT 2002]

    A)            1017 rad/sec                          

    B)            1/2p  ´ 1012 rad/sec

    C)            2 p ´ 1012 rad/sec               

    D)            4 p ´ 1012 rad/sec

    Correct Answer: A

    Solution :

                       Magnetic field due to revolution of electron                    \[B=\frac{{{\mu }_{0}}}{4\pi }.\frac{2\pi i}{r}=\frac{{{\mu }_{0}}}{4\pi }.\frac{2\pi .\left( \frac{e\omega }{2\pi } \right)}{r}={{10}^{-7}}\times \frac{e\omega }{r}\]                    \[\Rightarrow 16={{10}^{-7}}\times \frac{1.6\times {{10}^{-19}}\omega }{1\times {{10}^{-10}}}\Rightarrow \omega ={{10}^{17}}rad/\sec .\]


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