JEE Main & Advanced Physics Magnetism Question Bank Self Evaluation Test - Magnetism and Matter

  • question_answer
    A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of l .2 amp?

    A) 4.48 T  

    B) 2.48 T

    C) 5.48 T  

    D) 3.12T

    Correct Answer: A

    Solution :

    [a] Where u is the permeability of the core and \[{{\mu }_{r}}\] is the relative permeability Now, \[{{\mu }_{0}}=4\pi \times {{10}^{-7}}\,TM{{A}^{-1}}\],   \[{{\mu }_{r}}=800\] and      \[n=\frac{N}{2\pi r}=\frac{3500}{2\pi r}=\frac{3500}{2\pi \times 0.15\,}{{m}^{-1}}\] \[B=\mu \,n\,I={{\mu }_{0}}{{\mu }_{r}}\,n\,I\] \[\therefore \,\,\,\,\,B=\frac{(4\pi \times {{10}^{-7}})\times 800\times 3500\times 1.2}{(2\pi \times 0.15)}=4.48\,T\]


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