Since you are investigating the mysteries of Lakeview and the surrounding area, you decide to take some time to walk into town and get to know some members of the community. As you are strolling around town, you hear a holler. “Aya!!! Hey, howdy!! Come check out this ol' piece of junk I got right here, y'all!” It's Dr. Daryn McPaddel, the town inventor/engineer who is always showing her neighbors strange contraptions that she has made, and also happens to live adjacent to Lakeview's scrapyard, which allows her to tinker and invent to her heart's delight. This is what you see:

All the commotion around Dr. McPaddel's magnetic crane-thing has caused some neighbors to gather and see what all the fuss is about. Some of them approach you as they scratch their heads in disbelief. “Hey, you know about electricity and magnets and whatnot, can you explain what's going on?” You agree to explain in detail how the thing works since you want to form a bond with the townsfolk. The best way would probably be with a visual, and Dr. McPaddel has already created a visual of the coil of wire inside the contraption. All that's left to do is show what the magnetic field looks like.

GlowScript 2.7 VPython
xaxis = cylinder(pos = vec(-3, 0, 0), axis = vec(6, 0, 0), radius = 0.01, color = color.white)
yaxis = cylinder(pos = vec(0, -3, 0), axis = vec(0, 6, 0), radius = 0.01, color = color.white)
zaxis = cylinder(pos = vec(0, 0, -3), axis = vec(0, 0, 6), radius = 0.01, color = color.white)
 
## Setting up the constants
mu0 = 4 * pi * 10 ** -7    # magnetic constant in standard units
I = 5000                   # current in ring
R = 1                      # radius of ring
thickness = 0.05           # thickness of ring
scale = 250
 
## Drawing the ring
ring = ring(pos = vec(0, 0, 0), axis = vec(0, 0, 1), size = vec(thickness, 2 * R, 2 * R), color = color.blue)
 
## Splitting the ring into little pieces
N = 100                    # number of little pieces
dtheta = 2 * pi / N        # angle between adjacent little pieces
theta = 0
little_pieces = []
 
## Determining dl and the location for each little piece
while theta < 2 * pi:
    dl = vec(0, 0, 0)
    r_source = vec(0, 0, 0)
 
    little_piece = arrow(pos = r_source, axis = dl, color = color.green)
    little_pieces.append(little_piece)
 
    theta = theta + dtheta
 
## Picking some points to observe the magnetic field
observation_radii = [0, 0.4, 0.8, 1.2, 1.6]
observation_angles = [0, pi/2, pi, 3*pi/2]
observation_heights = [0]
r_obs_vectors = []
 
## Putting the observation points into a list
for rad in observation_radii:
    for angle in observation_angles:
        for height in observation_heights:
            r_obs = vec(rad * cos(angle), rad * sin(angle), height)
            r_obs_vectors.append(r_obs)
 
## Visualizing the magnetic field
for r_obs in r_obs_vectors:
    B_total = vec(0, 0, 0)
    for little_piece in little_pieces:
        r_source = little_piece.pos
        dl = little_piece.axis
 
        r_sep = vec(0, 0, 0)
        B_little_piece = vec(0, 0, 0)
 
        B_total = B_total + B_little_piece
    arrow(pos = r_obs, axis = scale * B_total, color = color.yellow)