This work presents a series representation for the mutual inductance of two coaxial pancake coils which remains accurate in nonquasi-\nstatic regime under the hypothesis that the current in the source coil is uniformly distributed. Making use of Gegenbauerâ??s\naddition theorem and a term-by-term analytical integration, the mutual inductance between two generic turns belonging to\ndistinct coils is expressed as a sum of spherical Hankel functions with algebraic coefficients. The accuracy and efficiency of the\nresulting expression is proved through pertinent numerical examples.
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