The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_A=10 cm$ and $r_B=20 cm$ respectively are equal if: (Where $N _A, I _{ A }$ and $N _B, I _{ B }$ are number of turn and current of $A$ and $B$ respectively)

  • [JEE MAIN 2023]
  • A

    $2 N _{ A } I _{ A }= N _{ B } I _{ B }$

  • B

    $N _{ A }=2 N _{ B }$

  • C

    $N _{ A } I _{ A }=4 N _{ B } I _{ B }$

  • D

    $4 N _{ A } I _{ A }= N _{ B } I _{ B }$

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  • [IIT 2011]

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