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Published equation contexts

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

Why this formula appears here

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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Published contexts (1)

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

Equation 2 · Metrology

The Last Artefact: Redefining the Kilogram

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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:

Meanings in this article

  • vv: the velocity.
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