(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For \ copper wire, assume a diameter of 3 mm and a maximum safe current of 20 A. \ For the STM, assume a probe tip diameter of 1 nm and a current of ", Cell[BoxData[ \(TraditionalForm\`10\^\(-9\)\)]], "A." }], "Text"], Cell[CellGroupData[{ Cell["Solution", "Subtitle"], Cell[TextData[{ "Strategy.\n", StyleBox["Current density is ", FontWeight->"Plain"], Cell[BoxData[ \(TraditionalForm\`current\/\(cross - section\ area\)\)]], StyleBox[". Assume a circular cross-section for the wire (area = \[Pi]", FontWeight->"Plain"], Cell[BoxData[ \(TraditionalForm\`r\^2\)], FontWeight->"Plain"], StyleBox[").\n", FontWeight->"Plain"], "Execution.", StyleBox["\n\nCopper wire. Current = 20 A. 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Probe tip radius = 0.5 nm." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(STM\ = \ \((10\^\(-9\)\ A)\)/\((\[Pi]\ \((0.5\[Times]\(10\^\(-9\)\) m)\ \)\^2)\)\)], "Input", CellLabel->"In[433]:="], Cell[BoxData[ \(\(1.2732395447351627`*^9\ A\)\/m\^2\)], "Output", CellLabel->"Out[433]="] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(STM/Copper\)], "Input", CellLabel->"In[434]:="], Cell[BoxData[ \(449.99999999999994`\)], "Output", CellLabel->"Out[434]="] }, Open ]], Cell[TextData[{ StyleBox["Comment.", FontWeight->"Bold"], " The current ", StyleBox["density", FontSlant->"Italic"], " in the STM is 450 times larger than the maximum safe current density in a \ piece of standard copper wire (the kind that would handle most of the \ electricity in your home, for example)." }], "Text"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.2 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 685}}, WindowSize->{729, 651}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, Magnification->1.5, StyleDefinitions -> "ArticleModern.nb" ] (******************************************************************* Cached data follows. 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