Helmholtz-Coil Fields

R

α

b

function

Bρ [ρ, z, R, α, b]

Bz [ ρ, z, R, α, b ]

u [ρ, z, R, α, b]

Two parallel circular conductors both carry the current

I

1

in the same direction. The circles lie parallel to the

x

-

y

plane and both have radius

R

. The centers of the circles are at

(x,y,z)=(0,0,b)

and

(0,0,-b)

. According to the cylindrical symmetry the observation points in the

x

-

z

plane can be taken at

ϕ=0

. Each circular conductor is parametrized by the angle

α

, running from

0

to

2π

. The three quantities

B

ρ

,

B

z

,

u

are displayed for the five independent variables

ρ

,

z

,

R

,

α

,

b

. The observation points are described by

ρ

,

z

and the source by

R

,

α

,

b

. Units used are in the CGS system