$A$ current $i$ ampere flows along the inner conductor of a coaxial cable and returns along the outer conductor of the cable. The magnetic induction at any point outside the conductor at a distance $r$ metre from the axis is

  • A
    $\infty$
  • B
    Zero
  • C
    $\frac{\mu_0}{4\pi} \frac{2i}{r}$
  • D
    $\frac{\mu_0}{4\pi} \frac{2\pi i}{r}$

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Two coaxial solenoids $1$ and $2$ of the same length are placed such that one is inside the other. The number of turns per unit length are ${n_1}$ and ${n_2}$. The currents ${i_1}$ and ${i_2}$ are flowing in opposite directions. The magnetic field inside the inner coil is zero. This is possible when:

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