1sqrtmu0

1sqrtmu0 is the reciprocal of the square root of the magnetic constant μ0, i.e., 1/√μ0. It is not a widely named or fundamental constant in physics, but it can appear as a derived quantity when working with electromagnetic units and normalizations.

μ0, the permeability of free space, is defined exactly in the International System of Units as μ0 = 4π × 10^-7 henry per meter (H/m). Consequently, 1/√μ0 has SI units of sqrt(m/H). Numerically, using μ0 ≈ 4π × 10^-7 H/m, 1/√μ0 is approximately 8.9 × 10^2, i.e., about 890 to 900 in SI terms, depending on the exact rounding. This value reflects the scale of the square-rooted magnetic constant.

In electromagnetic theory, μ0 enters together with ε0 (the permittivity of free space) in several fundamental relations, such as the speed of light c = 1/√(ε0 μ0) and the impedance of free space Z0 = √(μ0/ε0). While 1/√μ0 itself is not a standard named constant, it can serve as a convenient scaling factor in unit-normalization procedures or when converting between different unit systems (for example, between SI and Gaussian units, where the treatment of μ0 and ε0 changes).

Notes and context: In some natural or Gaussian unit systems, μ0 and ε0 are set to 1, altering the role of 1/√μ0. In SI practice, 1/√μ0 remains a derived quantity with limited direct physical interpretation beyond scaling considerations.

See also: μ0, ε0, c, Z0, electromagnetic units, unit systems.