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12th Class Physics Electro Magnetic Induction Question Bank MCQ - Electromagnetic Induction

  • question_answer
    The magnetic flux linked with a coil satisfies the relation \[\phi =(4{{t}^{2}}+6t+9)Wb\] where t is the time in second. The emf induced in the coil at t = 2 s is:

    A) 22 V                            

    B) 18 V    

    C) 16 V                            

    D) 40 V         

    Correct Answer: A

    Solution :

    (a) 22V Given. \[\phi =4{{t}^{2}}+6t+9\] and \[t=2s\] We know that, \[\left| \varepsilon  \right|=\left| \frac{d\phi }{dt} \right|\] Here,             \[\left| \frac{d\phi }{dt} \right|=\,|8t+6|\] \[\Rightarrow {{\left( \frac{d\phi }{dt} \right)}_{t=2}}=8\times 2+6\] Induced emf in the coil = 22 V


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