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Equation 1 · Part 4 · From Origins to Frontier: A History of Scientific Instruments and Metrology

Symbol U

mgv=UIm g v = U I
UU

What this part means

U is an input to the expression that computes the quantity on the left.

Its job in the formula

U is an input to the expression that computes the quantity on the left.

The passage around this formula

…simplified form, is: mgv=UIm g v = U I. where m is the test mass, g the local gravitational acceleration (independently and precisely measured at the balance’s location), v the coil’s velocity in the moving phase, and U and I the voltage and current measured electrically. Combined with the quantum electrical measurements of U and I in terms of h , this equation is what let NIST’s NIST-4 Kibble balance measure the Planck constant to within about 13 parts per billion in 2017 — precise enough to underwrite the…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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