(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. 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). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1550200, 19360]*) (*NotebookOutlinePosition[ 1551011, 19388]*) (* CellTagsIndexPosition[ 1550967, 19384]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Example 1: Kirchoff 's Voltage Law", "Title", Background->None], Cell[TextData[{ "A circuit contains six nodes lettered A, B, C, D, E, and F. Let ", Cell[BoxData[ \(TraditionalForm\`V\_AB\)]], " be the voltage between nodes A and B with its positive reference at the \ first named node, here A. Find ", Cell[BoxData[ \(TraditionalForm\`V\_AC\)]], ", ", Cell[BoxData[ FormBox[ RowBox[{ FormBox[\(V\_\(AD, \)\), "TraditionalForm"], \(V\_AE\)}], TraditionalForm]]], ", and ", Cell[BoxData[ \(TraditionalForm\`V\_AF\)]], " if ", Cell[BoxData[ \(TraditionalForm\`V\_AB\)]], "=6V, ", Cell[BoxData[ \(TraditionalForm\`V\_BD\)]], "=-3V, ", Cell[BoxData[ \(TraditionalForm\`V\_CF\)]], "=-8V, ", Cell[BoxData[ \(TraditionalForm\`V\_EC\)]], "=4V, and (a) ", Cell[BoxData[ \(TraditionalForm\`V\_DE\)]], "=1V (b) ", Cell[BoxData[ \(TraditionalForm\`V\_CD\)]], "=1V ", Cell[BoxData[ \(TraditionalForm\`\((c)\) V\_FE\)]], "= 4V. (Dr. M Fogiel, Director, Staff of Research and Education \ Association, ", StyleBox["The Electric Circuits Problem Solver", FontSlant->"Italic"], " Problem 1.19.) 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", StyleBox["Mathematica", FontSlant->"Italic"], " can be used to simplify the equations and solve for the unknowns. The \ expressions for each element are written in a list as shown below." }], "Text", Background->None], Cell[CellGroupData[{ Cell[BoxData[ \(eqn1 = \ {V\_AC == V\_AB + V\_BD + V\_DE + V\_EC, \ \ V\_AB == 6 V, \ V\_BD == \(-3\) V, V\_EC == 4 V, \ V\_DE == 1 V}\)], "Input", Background->None], Cell[BoxData[ \({V\_AC == V\_AB + V\_BD + V\_DE + V\_EC, V\_AB == 6\ V, V\_BD == \(-3\)\ V, V\_EC == 4\ V, V\_DE == V}\)], "Output", Background->None] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[eqn1, \ V\_AC]\)], "Input", Background->None], Cell[BoxData[ \({{V\_AC \[Rule] 8\ V}}\)], "Output", Background->None] }, Open ]], Cell[TextData[{ "In the above equation we employ the ", StyleBox["Mathematica", FontSlant->"Italic"], " function ", StyleBox["Solve", FontFamily->"Courier", FontVariations->{"CompatibilityType"->0}], " to reduce the equation, solving for the unknown component, ", Cell[BoxData[ \(TraditionalForm\`V\_AC\)]], ". 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The ", StyleBox["Mathematica", FontSlant->"Italic"], " function ", StyleBox["N", FontFamily->"Courier", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", FontWeight->"Bold"], "can be used to obtain the numerical values for the expressions, and the ", StyleBox["Out[%]", FontFamily->"Courier", FontVariations->{"CompatibilityType"->0}], "function is a global object that is assigned to be the value produced on \ the ", StyleBox["n", "TI", FontSlant->"Italic"], Cell[BoxData[ \(TraditionalForm\`\[Null]\^th\)], "InlineFormula"], " (last) output line. 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