• Pixel-art sticker of Bridgette, personifying Wheatstone Bridge, with the caption “Balanced Bridge, Zero Current.”

IndexForces & FieldsSticker

Bridgette

Wheatstone Bridge Physics

\[\frac{R_1}{R_2} = \frac{R_3}{R_4}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
Sale Sold out

Meet Bridgette, a diamond of four resistors who finds an unknown resistance precisely. When the resistor ratios match, the two middle points sit at the same voltage and no current flows through the meter. With 100, 200 and 150 Ω, balance means the fourth is 300 Ω. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

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

Meet Bridgette, a diamond of four resistors who can find an unknown resistance with great precision.

A Wheatstone bridge has two pairs of resistors connected side by side across a battery, with a sensitive meter joining the middle points of the two pairs. Current splits into the two branches, and the meter shows whether the voltages at its two ends are equal.

When the ratios match, so that R₁/R₂ = R₃/R₄, the two middle points sit at the same voltage and no current flows through the meter. The bridge is then balanced. If R₁ = 100 Ω, R₂ = 200 Ω and R₃ = 150 Ω, balance tells you that R₄ = 300 Ω.

The method is a null measurement. You adjust a known resistor until the meter reads zero, instead of trusting the exact reading of the meter itself, which makes it very accurate.

Bridges like this are still used in strain gauges and sensors, where a tiny change in one resistor shows up as a small current through the meter.

Equations

\[\frac{R_1}{R_2} = \frac{R_3}{R_4}\]
Symbols
SymbolMeaningUnit
\(R_1\) first resistor \(\mathrm{Ω}\)
\(R_2\) second resistor \(\mathrm{Ω}\)
\(R_3\) third resistor \(\mathrm{Ω}\)
\(R_4\) fourth resistor \(\mathrm{Ω}\)