cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A213610 Decimal expansion of the characteristic impedance of vacuum in SI units as defined before 20 May 2019.

This page as a plain text file.
%I A213610 #31 Nov 25 2023 11:54:27
%S A213610 3,7,6,7,3,0,3,1,3,4,6,1,7,7,0,6,5,5,4,6,8,1,9,8,4,0,0,4,2,0,3,1,9,3,
%T A213610 0,8,2,6,8,6,2,3,5,0,8,3,5,2,4,1,8,6,5,5,2,3,2,0,7,4,6,3,8,2,9,6,7,0,
%U A213610 7,2,6,9,2,2,1,3,0,7,6,9,8,8,8,0,1,6,6,8,7,5,1,9,9,5,6,5,5,8,6,6,9,3,6,4,8
%N A213610 Decimal expansion of the characteristic impedance of vacuum in SI units as defined before 20 May 2019.
%C A213610 Denoted Z_0, this is a function of assigned metrological constants. Regarding these, see A003678 for general context notes, references and links. - _Stanislav Sykora_, Jun 16 2012
%H A213610 Wikipedia, <a href="https://en.wikipedia.org/wiki/Impedance_of_free_space">Impedance of free space</a>
%F A213610 Z_0 = [magnetic_permeability_of_vacuum]*[speed_of_light_in_vacuum] = 10^-6 * A019694 * A003678 = Pi * 119.9169832 Ohms, where 119.9169832 = 4*10^-7 * 299792458 (exact value). [The 2nd equality is valid only for the SI definition that was in effect until 2019.]
%F A213610 Equals 2*alpha*h/e^2, where alpha is the fine-structure constant, h is the Planck constant and e is the elementary charge. The decimal expansion of Z_0 in SI units after the redefinition in 2019 is 2*A003673*A003676/A081823^2. - _Jianing Song_, Nov 25 2023
%e A213610 376.730313 ... Ohm [also kg * m^2 * s^-3 * A^-2].
%t A213610 RealDigits[4*Pi*10^-7*299792458, 10, 105] // First (* _Jean-François Alcover_, Mar 07 2014 *)
%Y A213610 Cf. A003673, A003676, A081823.
%Y A213610 Other assigned constants: A003678, A182999, A081799, A019694, A072915, A213611, A213612, A213613, A213614.
%K A213610 nonn,cons
%O A213610 3,1
%A A213610 _Stanislav Sykora_, Jun 16 2012
%E A213610 Edited by _Andrey Zabolotskiy_, Aug 12 2020