Mutual-Inductance Computation between Coaxial Thin Conical Sheet Inductor and the Circular Loop in Air

The paper describes a new formula for calculating the mutual inductance between thin conical sheet inductor and filamentary circular loop, which are coaxial in air. presented is derived semi-analytically using complete elliptic integrals of first, second, third kind, along with integral term will be solved numerically. results validated double single integration methods, as well semi-analytical formula. cylindrical solenoid loop can obtained coil loop. Presented formulas useful various applications, such excitation used electromagnetic-levitation melting, production magnetic field homogeneity broadband RF wireless power transfer systems that utilize inductors. Overall, presents valuable contribution to design applications involving