Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $A = 10 \, cm^2$ and length $\ell = 20 \, cm$. If one of the solenoids has $N_1 = 300$ turns and the other has $N_2 = 400$ turns,their mutual inductance is (given $\mu_0 = 4\pi \times 10^{-7} \, T \cdot m \cdot A^{-1}$):

  • A
    $2.4 \pi \times 10^{-5} \, H$
  • B
    $4.8 \pi \times 10^{-4} \, H$
  • C
    $4.8 \pi \times 10^{-5} \, H$
  • D
    $2.4 \pi \times 10^{-4} \, H$

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