Calculator for

Off-Axis Fields due to One or Two Coils



This JavaScript calculator started out using Eric Dennison's Calculator for Off-Axis Fields due to a Current Loop based on the Formula for Off-Axis Fields due to a Loop to calculate the axial and radial field components, in Teslas, resulting from a single circular current filament.

It was modified by me (Sam) to use units of inches instead of meters (OK, so I'm old-fashioned or something. but inches are more convenient for what I'm doing) and two coils wound using multiple layers with multiple turns and wire of finite diameter. This includes the special cases of solenoids (l=1) and pancakes (t=1). The separation also allows for the special cases of the Helmholtz and figure-eight coils. The math may not be precisely exact but should be close unless I screwed up a sign or two. ;-)

Enter the mean radius of the coils, current in coil 1 (i1) and the relative current in coil 2 (i2 = the value multiplied by i1); total number of layers (l), number of turns/layer (t), and wire diameter (d); axial separation (xs) and radial separateion (rs); and the axial (x), radial (r), and offset (o) of the measurement point. Then click "Calculate Fields" to determine the resulting fields for each coil individually and the net field from both.

Mean Radius of Coils (a, inches)  

Layers per Coil (l)   Turns per Layer (t)   Diameter of Conductor (d, inches)  

Separation of Centers of Coils (inches): Axial (xs) Radial (rs)  

Currents (amperes): Coil 1 (i1) Coil 2 Relative to i1 (i2: 1=i1, 0=0, -1=-i1)

Position at Measurement Point (inches): Axial (x) Radial (r)   Offset (o)  

Field due to Coil 1 (Tesla): Axial (B1x) Radial (B1r)   Offset (B1o)  

Field due to Coil 2 (Tesla): Axial (B2x) Radial (B2r)   Offset (B2o)  

Field due to Both Coils (Tesla): Axial (Bx) Radial (Br)   Offset (Bo)  



More can be found at the Magnet Formulas Web Site, © 2005 by Eric Dennison.