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Field Work Sticker Sheet

Lenzor, Gyrolla, Azurwake & Diagonix | 9 Pixel Art s

\[\begin{gathered} \mathcal{E} = -\frac{d\Phi_B}{dt} \end{gathered}\]
$19.99 USD
$19.99 USD
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The Field Work sticker sheet gathers several Pixelated Physics characters on one page, each built on a real piece of physics. Nine kiss-cut pixel-art stickers on one A5 sheet: Lenzor (Lenz’s law), Gyrolla (cyclotron), Azurwake (Cherenkov), Diagonix (polarisers), plus props. Peel them off one at a time and stick them wherever the physics belongs.

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Details

What you getA5 sheet · 9 stickers

One A5 kiss-cut sheet (5.83″ × 8.27″) on white sticker paper with 9 stickers, made to order.

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Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Stickers about fields and light: Lenz's law of induction, the fixed-period circle of a charge in a magnetic field, the cone of Cherenkov light, and Malus's cos² law for polarizers. Each line on the sheet is one sticker's key equation.

Nine stickers on one sheet: four characters who do their work through fields, and the light that fields make.

Lenzor’s line is Change the Flux. I Push Back. Drop a magnet down a copper pipe and it sinks slowly. Its moving field induces eddy currents in the copper, and by Lenz’s law those currents oppose the change that made them, braking the fall to a steady terminal speed. That is the copper pipe marked SLOW.

Gyrolla’s line is Bigger Circle. Same Lap Time. A charge moving across a uniform magnetic field circles with radius r = mv/(qB), but its lap frequency qB/(2πm) does not depend on speed. Ernest Lawrence built the cyclotron on that fact in the early 1930s. That is the orbit in a field marked × (pointing into the page), where a positive charge goes round anticlockwise.

Azurwake’s line is Faster Than Light. In Water. Legally. Nothing outruns light in vacuum, but light in water travels at about c/1.33, and a charged particle can beat that. It then sheds a cone of blue light at cos θ = 1/(nβ), about 41° in water for β near 1, the glow Pavel Cherenkov saw in 1934. That is the cone on the H2O tag.

Diagonix’s line is Nothing Got Through. Then They Added Me. Two crossed polarisers block everything. Slip a third between them at 45° and an eighth of unpolarised light gets through: ½ × cos²45° × cos²45°. That is the three filters and the 1/8 tag.

Equations

\[\begin{gathered} \mathcal{E} = -\frac{d\Phi_B}{dt} \end{gathered}\]
\[\begin{gathered} q v B = \frac{m v^2}{r} \;\Rightarrow\; r = \frac{m v}{q B} \\ f_c = \frac{q B}{2\pi m} \end{gathered}\]
\[\begin{gathered} \cos\theta = \frac{1}{n\beta}, \qquad \beta > \frac{1}{n} \end{gathered}\]
\[\begin{gathered} I = I_0\cos^2\theta \\ I_{\text{out}} = \frac{I_0}{2}\cos^2 45^\circ\,\cos^2 45^\circ \\ I_{\text{out}} = \frac{I_0}{8} \end{gathered}\]
SymbolMeaningUnit
\(\mathcal{E}\) EMF induced around one ring of the pipe \(\mathrm{V}\)
\(\Phi_B\) magnetic flux through that ring \(\mathrm{Wb}\)
\(t\) time \(\mathrm{s}\)
\(q\) charge of the particle \(\mathrm{C}\)
\(v\) speed perpendicular to the field \(\mathrm{m/s}\)
\(B\) magnetic flux density \(\mathrm{T}\)
\(m\) mass of the particle \(\mathrm{kg}\)
\(r\) radius of the circle \(\mathrm{m}\)
\(f_c\) cyclotron frequency, laps per second (non-relativistic; at high energy it falls by 1/γ) \(\mathrm{Hz}\)
\(\theta\) for Cherenkov light: angle between the emitted light and the particle’s path; for a polariser: angle between the light’s polarisation and the transmission axis \(\mathrm{rad}\)
\(n\) refractive index of the medium, about 1.33 for water \(\mathrm{1}\)
\(\beta\) particle speed as a fraction of c \(\mathrm{1}\)
\(I\) intensity after one ideal polariser \(\mathrm{W/m^2}\)
\(I_0\) intensity arriving (unpolarised for the three-polariser line) \(\mathrm{W/m^2}\)
\(I_{\text{out}}\) intensity after the vertical, 45° and horizontal polarisers in turn \(\mathrm{W/m^2}\)

Sources

  1. Lenz (1834) Ueber die Bestimmung der Richtung der durch elektrodynamische Vertheilung erregten galvanischen Ströme, Ann. Phys. 107, 483–494
  2. MacLatchy, Backman & Bogan (1993) A quantitative magnetic braking experiment, Am. J. Phys. 61, 1096
  3. Lawrence & Livingston (1932) The Production of High Speed Light Ions Without the Use of High Voltages, Phys. Rev. 40, 19
  4. NobelPrize.org — The Nobel Prize in Physics 1939 (Ernest Lawrence, for the invention and development of the cyclotron)
  5. Cherenkov (1934) Visible emission of clean liquids by action of γ radiation, Dokl. Akad. Nauk SSSR 2, 451 — reprinted in Usp. Fiz. Nauk 93, 385 (1967)
  6. Frank & Tamm (1937) Coherent visible radiation of fast electrons passing through matter, Dokl. Akad. Nauk SSSR 14, 109 — reprinted in Usp. Fiz. Nauk 93, 388 (1967)
  7. Encyclopaedia Britannica — Étienne-Louis Malus (1809 paper on the polarization of light by reflection)
  8. Feynman Lectures on Physics Vol. I Ch. 33: Polarization

Source Lenz, E. (1834). Ueber die Bestimmung der Richtung der durch elektrodynamische Vertheilung erregten galvanischen Ströme. Annalen der Physik 107, 483–494.doi.org/10.1002/andp.18341073103

Field notes

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