A uniform conducting wire of length \( 24a \), and resistance \( R \) is wound up as a current carrying coil in the shape of an equilateral triangle of side \( a \) and then in the form of a square of side \( a \). The coil is connected to a voltage source \( V_0 \). The ratio of magnetic moment of the coils of equilateral triangle to that for square is \( 1 : \sqrt{y} \) where \( y \) is __________.
