A small cube of side \( 1 \, \text{mm} \) is placed at the centre of a circular loop of radius \( 10 \, \text{cm} \) carrying a current of \( 2 \, \text{A} \). The magnetic energy stored inside the cube is \( \alpha \times 10^{-14} \, \text{J} \). The value of \( \alpha \) is _____.
\( (\mu_{0}=4\pi \times 10^{-7} \, \text{T m/A} , \ \pi = 3.14) \)
