According to Faraday's law of electromagnetic induction:

  • A
    The direction of induced current is such that it opposes the cause producing it.
  • B
    The magnitude of induced $e.m.f.$ produced in a coil is directly proportional to the rate of change of magnetic flux.
  • C
    The direction of induced $e.m.f.$ is such that it opposes the cause producing it.
  • D
    None of the above.

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The magnetic flux (in weber) in a closed circuit of resistance $20 \ \Omega$ varies with time $t$ (in seconds) according to the equation $\phi = 5t^2 - 6t + 9$. The magnitude of the induced current at $t = 0.2 \ s$ is: (in $A$)

The following figure shows planar loops of different shapes moving into or out of a region of a magnetic field which is directed normal to the plane of the loop,away from the reader. Determine the direction of the induced current in each loop using Lenz's law.

$A$ coil having an area $2\,m^2$ is placed in a magnetic field which changes from $1\,Wb/m^2$ to $4\,Wb/m^2$ in an interval of $2$ seconds. The $e.m.f.$ induced in the coil will be......$V$.

Assertion $(A)$: It is more difficult to push a magnet into a coil with a greater number of turns.
Reason $(R)$: The $emf$ induced in a coil opposes the motion of a magnet when it is moved towards the coil.

Lenz's law gives

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