NEET Sample Paper NEET Sample Test Paper-19

  • question_answer 24) A circular coil of radius 0.1 m has 80 turns of wire. If the magnetic field through the coil increases from 0 to 2 Tesla in 0.4 sec and the coil is connected to a\[11\,\Omega \] resistor, what is the current (in A) through the resistor during the 0.4 sec interval?

    A) \[\left( \frac{8}{7} \right)A\]               

    B) \[\left( \frac{7}{8} \right)A\]

    C) \[8\,A\]                        

    D) \[7\,A\]

    Correct Answer: B

    Solution :

    \[e=-N\frac{d\Phi }{dt}=-NA\frac{dB}{dt}=-80\times \frac{22}{7}\times {{(0.1)}^{2}}\left( \frac{2.2}{0.4} \right)\] \[I=\frac{e}{R}=80\times \frac{22}{7}\times \frac{{{(0.1)}^{2}}\times 5}{11}=\frac{8}{7}A.\] Hence, the correction option is [b].

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