J & K CET Medical J & K - CET Medical Solved Paper-2007

  • question_answer
    A circular coil of diameter 21 cm is placed in a magnetic field of induction \[{{10}^{-4}}T.\] The magnitude of flux linked with coil when the plane of coil makes an angle 30° with the field is

    A) \[1.44\times {{10}^{-6}}Wb\]                     

    B)  \[1.732\times {{10}^{-6}}Wb\]

    C) \[3.1\times l{{0}^{-6}}Wb\]                        

    D)  \[4.2\times {{10}^{-6}}Wb\]

    Correct Answer: B

    Solution :

                     Magnetic flux,\[\phi =\int{\overrightarrow{B}}.\overrightarrow{dA}=BA\cos \theta ,\], where\[\theta \] is angle between normal to the area dA with magnetic field B. Here,    \[\theta =({{90}^{o}}-{{30}^{o}})\]     \[={{60}^{o}}\] and        \[\phi ={{10}^{-4}}\times \pi {{\left[ \frac{21}{2}\times {{10}^{-2}} \right]}^{2}}\times \cos {{60}^{o}}\]                 \[=1.732\times {{10}^{-6}}Wb\]


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