JEE Main & Advanced Physics Magnetism JEE PYQ-Magnetism

  • question_answer
    A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization \[\overset{\to }{\mathop{M}}\,\](magnetic moment/volume), then \[|\overset{\to }{\mathop{M}}\,|\]is:          [JEE ONLINE 10-04-2015]

    A) \[30000\,A{{m}^{-1}}\]

    B) \[3\pi \,A{{m}^{-1}}\]

    C)             \[30000\pi \,A{{m}^{-1}}\]

    D) \[300\,A{{m}^{-1}}\]

    Correct Answer: A

    Solution :

    [a] \[l=20cm\]                \[r=2cm\]
    \[N=500turms\]              \[i=15A\]
    \[\overrightarrow{M}=\frac{500\times 15\times \pi \times {{\left( 2\times {{10}^{-2}} \right)}^{2}}}{\pi {{\left( 2\times {{10}^{-2}} \right)}^{2}}\times 25\times {{10}^{-2}}}\]
    \[=\frac{15\times 500}{25\times {{10}^{-2}}}\]           
    \[=\frac{7500\times {{10}^{2}}}{25}=30000A{{M}^{-1}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner