$A$ conducting ring of certain resistance is falling towards a current-carrying straight long conductor. The ring and conductor are in the same plane. Then

  • A
    induced current in the coil is zero.
  • B
    induced current in the coil is anticlockwise.
  • C
    induced current in the coil is clockwise.
  • D
    ring will come to rest.

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Assertion $(A)$: It is more difficult to push a magnet into a coil with a greater number of turns.
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$A$ coil of resistance $16 \Omega$ is placed with its plane perpendicular to a uniform magnetic field whose flux ($\phi$ in $10^{-3} \text{ Wb}$) changes with time ($t$ in seconds) as $\phi = 5t^2 + 4t + 2$. The induced current at time $t = 6 \text{ s}$ is: (in $\text{ mA}$)

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$A$ coil of resistance $400 \,\Omega$ is placed in a magnetic field. If the magnetic flux $\phi \,(Wb)$ linked with the coil varies with time $t \,(s)$ as $\phi = 50t^2 + 4$,the current in the coil at $t = 2 \,s$ is.....$A$.

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