problemset1

Sina xcosa x tanax integrateg x x o logca sax dsolvey

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Unformatted text preview: � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 6.642, Fall 2008 � � � � � � � � � � � � � � � Problem Set 1 0.0 0 1 2 3 4 ax Figure 2: Electric field line plot. 3 5 6 � � � � � � � � � � � � � � � � � � � Problem Set 1 6.642, Fall 2008 Mathematica File for Computations Necessary to Generate Electric Field Vector Arrow and Electric Field Line Plots f [y ] = (Sinh[a ∗ d] + Sinh[a ∗ (y − d)] − Sinh[a ∗ y ])/(Cosh[a ∗ (y − d)] − Cosh[a ∗ y ]) Sinh[2a]+Sinh[a(−2+y )]−Sinh[ay ] Cosh[a(−2+y )]−Cosh[ay ] Integrat"[f [y ], y ] e 2iArcTan ( [ ay ]−Sinh[a]Sinh[ ay ]) 2 2 ay ay iCosh[a]Cosh[ +iCosh[ Sinh[a] 2] 2] (Cosh[a]+Sinh[a]) Cosh[a]Cosh # Cosh[a] + a Simplify[%] 2ArcTanh[Cosh[a]−Sinh[a]Tanh[ ay ]]Cosh[a]+Log[−Sinh[a−ay ]] 2 Log[−Sinh[a−ay ]] a a g [x ] = Sin[a ∗ x]/Cos[a...
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This document was uploaded on 03/19/2014 for the course EECS 6.642 at MIT.

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