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Equation 2 · Part 8 · The Last Artefact: Redefining the Kilogram

=

mxg=I1BlandU2=vBlm_x g = I_1 B l \qquad\text{and}\qquad U_2 = v B l
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The Kibble balance runs in two modes. In weighing mode, the weight of an artefact of mass m is balanced by the force on a coil of wire length l carrying current I₁ in a radial field of flux density B. In moving mode, the same coil is driven vertically at velocity v through the same field and the induced voltage U₂ is measured [ 4 ] : mxg=I1BlandU2=vBlm_x g = I_1 B l \qquad\text{and}\qquad U_2 = v B l. The geometric factor Bl appears in both and is eliminated between them:

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.