Analyze the behavior of magnetically coupled resonant circuits.

Coupled resonant circuits exhibit two resonant peaks when coupling exceeds critical coupling (k = 1/sqrt(Q1*Q2)). Below critical coupling, a single peak occurs. The frequency split increases with coupling coefficient. Bandwidth increases while maintaining flat passband for transitional coupling. Design involves choosing Q-factors and coupling for desired bandwidth and passband flatness. Applications include IF transformers, bandpass filters, and wireless power transfer optimization for efficiency and distance.