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 induction at a point P which is distant 4 cm from a long current carrying wire is \[{{10}^{-8}}\,Tesla\]. The field of induction at a distance 12 cm from the same current would be                    [CBSE PMT 1990; DPMT 2001]

    A)            \[3.33\times {{10}^{-9}}\,Tesla\]                                     

    B)            \[1.11\times {{10}^{-4}}\,Tesla\]

    C)            \[3\times {{10}^{-3}}\,Tesla\]                                           

    D)            \[9\times {{10}^{-2}}\,Tesla\]

    Correct Answer: A

    Solution :

                       \[B=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{2i}{r}\] Þ \[\frac{{{B}_{1}}}{{{B}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\] Þ \[\frac{{{10}^{-8}}}{{{B}_{2}}}=\frac{12}{4}\]                    Þ \[{{B}_{2}}=3.33\times {{10}^{-9}}\,Tesla\]


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