One of the two small circular coils, (none of them having any self- inductance) is suspended with a $V-$ shaped copper wire, with plane horizontal. The other coil is placed just below the first one with plane horizontal. Both the coils are connected in series with a $dc$ supply. The coils are found to attract each other with a force. Which one of the following statements is incorrect ?

  • [JEE MAIN 2013]
  • A

    Both the coils carry currents in the same direction

  • B

    Coils will attract each other, even if the supply is an ac source

  • C

    Force is proportional to $d^{-1}$

  • D

    Force is proportional to $d^{-2}$

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  • [AIIMS 2003]