The Magnetic Field Study of a Finite Solenoid

Abstract

This paper presents the axial and radial magnetic fields strength equations at any point inside or outside a finite solenoid with infinitely thin walls. Solution of the equation has been obtained in terms of tabulated complete elliptic integrals. For the axial field, an accurate approximation is given in terms of elementary function. Internal and external magnetic fields to the solenoid are presented in graphical form with normalized values for a wide variety of solenoid dimensions. A comparison with previous studies has been done, a good correlation between the two results is achieved and the ratio of error is calculated.