12th Class Physics Magnetism Question Bank MCQ - Magnetism and Matter

  • question_answer
    A solenoid has core of a material with relative permeability 500 and its windings carry a current of 1.2 A. The number of turns of the solenoid is 500 per metre. The magnetisation of the material is nearly:

    A) \[2.5\times {{10}^{3}}A{{m}^{-1}}\]             

    B)             \[3\times {{10}^{5}}A{{m}^{-1}}\]

    C)             \[2.0\times {{10}^{3}}A{{m}^{-1}}\]          

    D)             \[2.0\times {{10}^{5}}A{{m}^{-1}}\]

    Correct Answer: B

    Solution :

    (b) \[3\times {{10}^{5}}A{{m}^{-1}}\] Here,     \[n=500\text{ }turns/m\]             \[l=1.2\,A,\,\,\,\,{{\mu }_{r}}=500\] Magnetic intensity,             \[H=nl=500\,{{m}^{-1}}\times 1.2\,A=600\,A{{m}^{-1}}\] As         \[{{\mu }_{r}}=1+\chi \] Where \[\chi \] is the magnetic susceptibility of the material or                     \[\chi =({{\mu }_{r}}-1)\] Magnetisation,    \[M=\chi H\]             \[=({{\mu }_{r}}-1)H=(500-1)\times 600\,A{{m}^{-1}}\]             \[=499\times 600\,A{{m}^{-1}}\]                     \[=2.994\times {{10}^{5}}\,A{{m}^{-1}}\]             \[\approx 3\times {{10}^{5}}A{{m}^{-1}}\]


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