JEE Main & Advanced Physics Electro Magnetic Induction JEE PYQ-Electro Magnetic Induction

  • question_answer
    A coil of circular cross-section having 1000 turns and \[4c{{m}^{2}}\]face area is placed with its axis parallel to a magnetic field which decreases by 10-2 Wb m-2 in 0.01 s. The e.m.f. induced in the coil is:          [JEE ONLINE 11-04-2014]

    A) 400 mV

    B) 200 mV

    C) 4 mV

    D) 0.4 mV

    Correct Answer: A

    Solution :

    [a] Given: No. of turns N = 1000
    Face area, \[A=4c{{m}^{2}}=4\times {{10}^{-4}}{{m}^{2}}\]
    Change in magnetic field,
    \[\Delta B={{10}^{-2}}wb{{m}^{-2}}\]
    Time taken, t\[t=0.01s={{10}^{-2}}\sec \]
    Emf induced in the coil e = ?
    Applying formula,
    Induced emf, \[e=\frac{-d\phi }{dt}\]
    \[=N\left( \frac{\Delta B}{\Delta t} \right)A\cos \theta \]
    \[=\frac{1000\times {{10}^{-2}}\times 4\times {{10}^{-4}}}{{{10}^{-2}}}=400mV\]


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