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Nikola Tesla Sticker
AC Slays DC Pixel Art | Physics
The power in your walls alternates direction many times a second, and Tesla is part of why. AC won out for long-distance power because transformers make high-voltage transmission efficient; Tesla’s polyphase motor patents, bought by Westinghouse in 1888, made AC useful at the far end. A pixel-art portrait on a 3" × 3" sticker; the physics panel below has the equation, every symbol and the sources.
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Details
Size3″ × 3″
3″ × 3″ kiss-cut sticker.
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The physics
Power lost in a wire is the current squared times the resistance, so sending power at high voltage and low current wastes much less. Transformers, which only work with alternating current, step the voltage up or down in proportion to the number of turns on each coil.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(V\) | voltage | \(\mathrm{V}\) |
| \(V_0\) | peak voltage | \(\mathrm{V}\) |
| \(\omega\) | angular frequency | \(\mathrm{rad/s}\) |
| \(V_s, V_p\) | secondary, primary voltage | \(\mathrm{V}\) |
| \(N_s, N_p\) | turns on secondary, primary | \(\mathrm{1}\) |
| \(P_{\text{loss}}\) | resistive power loss | \(\mathrm{W}\) |
| \(I\) | current | \(\mathrm{A}\) |
| \(R\) | line resistance | \(\mathrm{Ω}\) |
Sources
- Encyclopaedia Britannica — Nikola Tesla (opens in a new tab)
- Encyclopaedia Britannica — Alternating current (opens in a new tab)
- Encyclopaedia Britannica — Transformer (opens in a new tab)
- US Patent 381,968 (Tesla, 1888) — Electro-Magnetic Motor (opens in a new tab)
- Feynman Lectures on Physics Vol. II Ch. 16: Induced Currents (opens in a new tab)
- Feynman Lectures on Physics Vol. II Ch. 17: The Laws of Induction (opens in a new tab)
- BIPM — The International System of Units (SI Brochure) (opens in a new tab)
Source Tesla, N. (1888). A New System of Alternate Current Motors and Transformers. Transactions of the American Institute of Electrical Engineers V, 308–327.doi.org/10.1109/t-aiee.1888.5570379 (opens in a new tab)