Wiring of assemblies and methods of forming channels in wiring assemblies

1. A conductor assembly of the type which, when conducting current, generates a magnetic field or which, in the presence of a changing magnetic field, induces a voltage, comprising:

a conductor having a spiral configuration, positioned along a path in a cylindrical plane, which conductor extends along an axis central to the cylindrical plane, positions along the path varying in azimuthal angle where:

the azimuthal angle of each position is measurable in a plane orthogonal to the axis and relative to a reference point in the plane orthogonal to the axis,

the configuration comprises a continuous series of connected turns, T n , for which n is an integer ranging from one to N,

each turn, T n , includes a first arc, a second arc and first and second straight segments connected to one another by the first arc,

the second arc connects the turn, T n , to an adjoining turn, T n+1 or T n−1 ,

for a given value of n, each of the first and second straight segments in a turn T n is spaced apart from an adjacent straight segment in an adjoining turn T n+1 or T n−1 , and

for each straight segment in each turn, T n , the azimuthal angle, θ n , defines a sufficient number of positions according to the relationship

sin

⁡

(

m

*

θ

n

)

=

n

-

1

2

N

that all positions along a majority of the length of each straight segment in each turn, T n , conform to the relationship

sin

⁡

(

m

*

θ

n

)

=

n

-

1

2

N

.

2. The saddle coil magnet winding structure of claim 1 wherein some of the positions along the path of a first arc in one of the turns conform to the relationship

F

⁡

(

x

)

*

sin

⁡

(

m

*

θ

n

)

=

n

-

1

2

N

where x is a position along the axis and F(x) varies in value along the arc from zero to one.

3. The saddle coil magnet winding structure of claim 1 further comprising one or more additional spiral configurations each extending along a path in a different cylindrical plane concentrically positioned about the axis, each with positions along the path varying in azimuthal angle along the axis where for each additional configuration:

the azimuthal angle of each position is measurable in a plane orthogonal to the axis and relative to a reference point in the plane orthogonal to the axis,

the configuration comprises a continuous series of connected turns, T n ,

each turn, T n , includes a first arc, a second arc and first and second straight segments connected to one another by the first arc, and

the second arc connects each turn, T n , to an adjoining turn, T n+1 or T n−1 .

4. The saddle coil magnet winding structure of claim 3 wherein, for each additional configuration of connected turns, T n ,

n is an integer ranging from one to N, and

the azimuthal angle, θ n , defines the relationship

sin

⁡

(

m

*

θ

n

)

=

n

-

1

/

2

N

such that all positions along a majority of the length of each straight segment in each turn, T n , conform to

sin

⁡

(

m

*

θ

n

)

=

n

-

1

/

2

N

.

5. The saddle coil magnet winding structure of claim 1 wherein said spiral configuration is a first spiral configuration, the winding further comprising one or more additional spiral configurations each extending along a path in a different cylindrical plane concentrically positioned about the axis, the structure further comprising a support body having a groove formed therein and centered about the axis, wherein the first spiral configuration and at least one additional spiral configuration are positioned in the groove.

6. The saddle coil magnet winding structure of claim 1 wherein said spiral configuration is a first spiral configuration, the winding further comprising one or more additional spiral configurations each extending along a path in a different cylindrical plane concentrically positioned about the axis, the structure further comprising a support body having:

a first groove formed therein and centered about the axis, and a second groove formed therein and centered about the axis and spaced away from the first groove,

wherein at least the first spiral configuration is positioned in the first groove and at least one additional spiral configuration is positioned in the second groove.

7. A conductor assembly of the type which, when conducting current, generates a magnetic field or which, in the presence of a changing magnetic field, induces a voltage, comprising:

a body having a first channel formed therein defining a first path extending along a first cylindrical plane and along a direction parallel to an axis central to the cylindrical plane, where the first channel is in a configuration comprising a continuous series of connected turns, GT j , providing a first spiral pattern, where:

the azimuthal angle of each position is measured in a plane orthogonal to the axis and relative to a reference point in the plane orthogonal to the axis,

the configuration comprises a continuous series of connected turns, GT j , for which j is an integer ranging from one to N,

each turn, GT j , includes a first arc, a second arc and first and second straight segments connected to one another by the first arc,

the second arc connects the turn, GT j to an adjoining turn, GT j+1 or GT j−1 ,

for a given value of n, each of the first and second straight segments in the turn GT j is spaced apart from an adjacent straight segment in an adjoining turn GT j+1 or GT j−1 , and

for each straight segment in each turn, GT j , the azimuthal angle, θ n , defines a sufficient number of positions according to the relationship

sin

⁡

(

m

*

θ

n

)

=

n

-

1

/

2

N

where m is an integer greater than zero, that all positions along a majority of the length of each straight segment in each turn, GT j , conform to

sin

⁡

(

m

*

θ

n

)

=

n

-

1

2

N

.