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A system consists of two coaxial current...

A system consists of two coaxial current carrying circular loops as shown in Fig. The self inductance of loop 1 is `L_(1)` and self inductance of loop 2 is `L_(2)`. Magnitude of mutual inductance is M. If at any instant current flowing through loop 1 and loop 2 are `i_(1) and i_(2)` respectively, then total magnetic energy of the system is

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