PT Journal
AU Martin-Luna, P
   Gimeno, B
   Gonzalez-Iglesias, D
   Esperante, D
   Blanch, C
   Fuster-Martinez, N
   Martinez-Reviriego, P
   Fuster, J
TI On the Magnetic Field of a Finite Solenoid
SO IEEE Transactions on Magnetics
JI IEEE Trans. Magn.
PY 2023
BP 7000106 - 6pp
VL 59
IS 4
DI 10.1109/TMAG.2023.3250837
LA English
DE Solenoids; Magnetic fields; Integral equations; Magnetostatics; Magnetostatic waves; Particle beams; NASA; Elliptic integrals; finite solenoid
AB The magnetostatic field of a finite solenoid with infinitely thin walls carrying a dc current oriented in the azimuthal direction is calculated everywhere in space in terms of complete elliptic integrals by direct integration of the Biot-Savart law. The solution is particularized near the solenoid axis and in the midplane perpendicular to the axis obtaining expressions that agree with some typical approximations that are made in introductory courses of electromagnetism or in the technical literature. The range of validity of these approximations has been studied comparing them with the obtained general expression.
ER