PMC:7143804 / 20198-21304 JSONTXT

{"target":"https://pubannotation.org/docs/sourcedb/PMC/sourceid/7143804","sourcedb":"PMC","sourceid":"7143804","source_url":"https://www.ncbi.nlm.nih.gov/pmc/7143804","text":"To validate whether the metal tracks can withstand the required current, a quick analysis is done for the four extreme cases (i.e., wheater of 0.3 mm and 2.0 mm and sheater of 0.3 mm and 2.0 mm). In the same heated area of 7.7 mm by 10.1 mm a 100 nm (theater) thick heater track consisting of rectangles is assumed. The total amount of large and smaller interconnecting rectangles for all 4 cases is estimated in Table 3. Based on the polynomial approximation equations for the resistivity of Au and Pt (ρres,i, where i is either Au or Pt) which COMSOL MultiPhysics 5.3a uses (Equations (4) and (5)) and Equation (6) an estimation is made for the required input currents and the created current densities (defined as Ii/Across−section, in A m−2) when the heater is operated at 129.4 mW to get a temperature of 95 °C. These estimations are also given in Table 3. (4) ρres,Au(T)=−2.210068×10−9+9.057611×10−11∗Tfor60≤T\u003c400−4.632985×10−14∗T2+6.950205×−17∗T3 (5) ρres,Pt(T)=−1.927892×10−8+5.233699×10−10∗Tfor160≤T\u003c600−4.107885×10−13∗T2+6.694129×−16∗T3−4.447775×10−19∗T4 (6) 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