. A system consists of two coaxial current carrying circular loops as shown in the figure. The self inductance

A system consists of two coaxial current carrying circular loops as shown in the figure. The self inductance of loop 1 is L₁ and self inductance of loop 2 is L₂. Magnitude of mutual inductance is M. If at any instant current flowing through loop 1 and loop 2 are i₁ and i₂ respectively then total magnetic energy of the system is