$A$ long straight wire is placed along the axis of a circular ring of radius $R$. The mutual inductance of this system is

  • A
    $\frac{\mu_0 R}{2}$
  • B
    $\frac{\mu_0 \pi R}{2}$
  • C
    $\frac{\mu_0}{2}$
  • D
    $0$

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$A$ transformer is based on the principle of

Two coils have a mutual inductance of $0.005\,H$. The current in the first coil changes according to the equation $I = I_0 \sin \omega t$,where $I_0 = 10\,A$ and $\omega = 100\pi \,rad/s$. The maximum value of $emf$ in the second coil will be: (in $\pi \,V$)

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