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Contact Physics – Formulas

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===<!--6.4.2 -->Contact Physics – Formulas===
*'''Constriction resistance''' Re : <math>R_e = D\rho/2a</math>
(Single spot contact according to Holm; circular touching spot between clean
contact surfaces)
Re : <math>R_e = D\rho/2Na</math>
(Multi-spot contact according to Holm without influence between the N
individual spots)
Re : <math>R_e = D\rho/2 x E ai \sum a_i + 3B D3 \pi \rho /32N² 32N^2 x E E \sum \sum (sijs_ij) i = \neq j</math>
(Multi-spot contact according to Greenwood considering the influence between
the spots)
als bild? *'''Contact resistance''' : <br /math>RK R_K = Re R_e + RfR_f</math>
*'''Path resistance''' : <br /math>Rd R_d = Rb R_b + RKR_K</math>
*'''Contact resistance and contact force'''
R : <math>R_K = 280D ³ 280\rho \sqrt[3]{E(F · F_K \cdot r) K K} </math>
(According to Holm model for film-free spherical contact surfaces with plastic
deformation of the contact material; F <sub>k</sub> < 1 N for typical contact materials) kRK : <math>R_K = 9000 D \rho \sqrt{ H/ FKF_K}</math>
(According to Holm model for film-free spherical contact surfaces with plastic
deformation of the contact material; F <sub>k</sub> > 5 N for typical contact materials) *'''Dynamic contact separation''' (without considering magnetic fields caused by the current path) : <math>F_A \approx 0,8 xl^2</math>(Rule of thumb with F<sub>A</sub> in N and l in kA)
*'''Contact voltage and max. contact temperature'''
: <math>T_kmax \approx 3200 U_K</math>
*'''Dynamic Contact resistance at higher contact separationforces (according to Babikow)''' (without considering magnetic fields caused by the current path) : <math>R_K = cF_k^{-m}</math>For F<sub>K</sub> between 10 and 200 N<br/>c = material dependent proportionality factor<br />FA 0,8 x I²(Rule m = shape dependent exponent of thumb with F in N and I in kA)the contact force
*'''Contact voltage and max. contact temperature''' <br />T kmax 3200 UK
*'''Contact resistance at higher contact forces {| class="twocolortable scalable" style="text-align: left; font-size: 12px; width:45%;"|-!Material combination !c|-|Copper - Copper |(0.08 bis 0.14) x 10<sup>-3</sup>|-|Aluminum - Aluminum|(according to Babikow3 bis 6,7)''' x 10<sup>-3</sup>|-|Brass - Brass |0.67 x 10<sup>-3</sup>|-|Steel – Silver|0.06 x 10<sup>-3</sup>|-|Steel – Copper|3.1 x 10<sup>-3<br /sup>R = cF |-m K KFor F between |Steel – Brass|3.0 x 10 and 200 N K<sup>-3</sup>|} c {| class="twocolortable scalable" style= material dependent proportionality factor"text-align: left; font-size: 12px; width:45%; "|-!Contact shapes !m |-|Flat – Flat |1|-|Pyramid – Flat|0.5|-|Sphere – Flat |0.6|-|Sphere – Sphere|0.5|-|Multi-strand brush - Flat|1|-|Current bar (Busbar) contact|0.5 - 0.7|}<div class= shape dependent exponent of the contact force"clear"></div>
==References==
[[Application Tables and Guidance Guideline Data for the Use of Electrical ContactsContact Design#References|References]] [[de:Formeln_aus_der_Kontaktphysik]]

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