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

  • question_answer
    The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 mT. What will be its value at the centre of the loop                                           [AIEEE 2004]

    A)            250 m T                                    

    B)            150 m T

    C)            125 m T                                    

    D)            75 m T

    Correct Answer: A

    Solution :

                       \[\frac{{{B}_{center}}}{{{B}_{axis}}}={{\left( 1+\frac{{{x}^{2}}}{{{r}^{2}}} \right)}^{3/2}}\Rightarrow \frac{{{B}_{center}}}{54}={{\left( 1+{{\left( \frac{4}{3} \right)}^{2}} \right)}^{3/2}}=\frac{125}{27}\]            \[{{B}_{center}}=250\mu T\]


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