A uniform conducting wire of length is 24 a, and resistance R is wound up as a current carrying coil in the shape of an equilateral triangle of side…

A uniform conducting wire of length is $\displaystyle 24$ a , 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 ' $\displaystyle a$ '. The coil is connected to a voltage source $\displaystyle V_0$. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is $\displaystyle 1: \sqrt{y}$ where $\displaystyle y$ is \_\_\_\_.