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AFMC AFMC Solved Paper-2010

  • question_answer
    Magnetic flux in weber in a closed circuit of resistance 10\[\Omega \] varies with time t (sec) as \[\phi =6{{t}^{2}}-5t+1.\].The magnitude of induced current at t = 0.25 s is

    A) 0.2 A                                     

    B) 0.6 A

    C) 1.2 A                                     

    D) 0.8 A

    Correct Answer: A

    Solution :

    Induced emf \[e=-\frac{d\text{o }\!\!|\!\!\text{ }}{dt}=-\frac{d}{dt}(6{{t}^{2}}-5t+1)\]\[=12t+5\] \[e=-12(0.25)+5=2V\] Induced current, \[i=\frac{e}{R}=\frac{2}{10}=0.2A\]


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