CALCULATION OF THE MUTUAL INDUCTANCE AND THE MAGNETIC FORCE BETWEEN A THICK CIRCULAR COIL OF THE RECTANGULAR CROSS SECTION AND A THIN WALL SOLENOID (INTEGRO-DIFFERENTIAL APPROACH)

Systems that employ stimulating and implantable moni- toring devices utilize inductive links, such as external and implanted coils. The calculation of the mutual inductance and the magnetic force between these coils is important for optimizing power transfer. This paper deals with an e-cient and new approach for determining the mutual inductance and the magnetic force between two coaxial coils in air. The setup is comprised of a thick circular coil of the rectangular cross section and a thin wall solenoid. We use an integro-difierential approach to calculate these electrical parameters. The mutual induc- tance and the magnetic force are obtained using the complete elliptic integrals of the flrst and second kind, Heuman's Lambda function and one term that has to be solved numerically. All possible regular and singular cases were solved. The results of the presented work have been verifled with the fllament method and previously published data.