As shown in the figure,a bar magnet is moving towards a stationary coil with a constant speed $v$. The direction of the induced current in the coil as observed by the observer on the $R$.$H$.$S$. is . . . . . . .

  • A
    Anticlockwise
  • B
    Clockwise
  • C
    Current changes its direction randomly
  • D
    Induced current will not be produced.

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$A$ magnetic field of $2 \times 10^{-2} \,T$ acts at right angles to a coil of area $100 \,cm^2$ with $50$ turns. The average e.m.f. induced in the coil is $0.1 \,V$, when it is removed from the field in time $t$. The value of $t$ is (in seconds): (in $s$)

Statement $-1$: When a magnet is made to fall freely through a closed coil,its acceleration is always less than acceleration due to gravity $(g)$.
Statement $-2$: Current induced in the coil opposes the motion of the magnet,as per Lenz's law.

Magnetic flux (in $Wb$) linked with a closed loop varies with time $t$ (in $s$) as $\phi = 2t^2 + 1$. The magnitude of induced emf at $t = 1 \ s$ is $..... \ V$.

Derive the relation between induced charge and change in magnetic flux.

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$A$ conducting loop of resistance $R$ is moved into a magnetic field. The total induced charge depends upon:

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