diff --git a/team-6/ME20B029/ME20B029.bib b/team-6/ME20B029/ME20B029.bib new file mode 100644 index 0000000..b10e5c9 --- /dev/null +++ b/team-6/ME20B029/ME20B029.bib @@ -0,0 +1,17 @@ +@misc{webref1, +author={Wikipedia}, +title={Biot-Savart law}, +year={}, +howpublished={\url{https://tinyurl.com/acjh9zfc}} +} +@misc{webref2, +year={}, +author={Physics Libretexts}, +howpublished={\url{https://tinyurl.com/4m896vj5}} +} +@misc{picture, +author={Topper Learning}, +year={}, +title={Current-carrying wire}, +howpublished={\url{https://tinyurl.com/2xp3t4em}} +} diff --git a/team-6/ME20B029/ME20B029.eps b/team-6/ME20B029/ME20B029.eps new file mode 100644 index 0000000..a9d216a --- /dev/null +++ b/team-6/ME20B029/ME20B029.eps @@ -0,0 +1,6592 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (/srv/www/vhosts/git_exclude/save/processed/7/0/7/707e9697-8a90-4bb2-be4a-ef59996cfc76/01_d2425ade221898fe3cf155a4589d13c0_jpg_intermediate_eps/10743dd7ccd219cd7572d1aa37991c60.eps) +%%CreationDate: (2021-07-04T04:31:03+00:00) +%%BoundingBox: -0 -0 286 287 +%%HiResBoundingBox: 0 0 286 287 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse 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+FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF +FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF +FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF +FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF + +end +%%PageTrailer +%%Trailer +%%EOF diff --git a/team-6/ME20B029/ME20B029.tex b/team-6/ME20B029/ME20B029.tex new file mode 100644 index 0000000..532ab34 --- /dev/null +++ b/team-6/ME20B029/ME20B029.tex @@ -0,0 +1,26 @@ +\section{Anushka S ME20B029} +\subsection{Biot-Savart law} +The Biot–Savart law is an equation describing the magnetic field generated by a constant electric current. It relates the magnetic field to the magnitude, direction, length, and proximity of the electric current. The Biot–Savart law is fundamental to magnetostatics, playing a role similar to that of Coulomb's law in electrostatics.\cite{webref1} + +\subsubsection{Equation:} +\begin{equation} + {\LARGE{\textbf{$\vec{dB}=\frac{\mu_{0} I\vec{dl}\times\hat{r}}{4\pi r^2}$}}} + \label{eqn} +\end{equation} + +\subsubsection{Analysis:} +\begin{figure}[h] + {\begin{center} + \includegraphics[scale=0.9]{ME20B029.eps} + \end{center}} + \caption{A current element Idl produces a magnetic field at point P given by the Biot-Savart law \cite{picture}} + \label{fig} +\end{figure} +Consider a wire carrying current I as shown in figure \ref{fig}. Equation \ref{eqn} gives the magnetic field {$\vec{dB}$} produced by an element {$\vec{dl}$} +of the wire at the point P situated at a distance {\textbf{r}} from it. Here, {$\mu_{0}$} is the permeability of free space, and has value {$4\pi\times10^{-7}$}.\cite{webref2} +The magnitude of {$\vec{dB}$} is given by: +\begin{equation} +{\LARGE{\textbf{${dB}=\frac{\mu_{0} Idlsin\theta}{4\pi r^2}$}}} +\end{equation} +\subsubsection{Applications} +The Biot–Savart law can be used in the calculation of magnetic responses even at the atomic or molecular level, e.g. chemical shieldings or magnetic susceptibilities, provided that the current density can be obtained from a quantum mechanical calculation or theory.The Biot–Savart law is also used in aerodynamic theory to calculate the velocity induced by vortex lines.\cite{webref1} diff --git a/team-6/ME20B112/ME20B112.bib b/team-6/ME20B112/ME20B112.bib new file mode 100644 index 0000000..3363c29 --- /dev/null +++ b/team-6/ME20B112/ME20B112.bib @@ -0,0 +1,10 @@ +@misc{poisson's, +author={Engineering Libre Texts} +year={} +howpublished={\url{https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/05%3A_Electrostatics/5.15%3A_Poisson%E2%80%99s_and_Laplace%E2%80%99s_Equations#:~:}} +} +@misc{me20b112, +author={ScienceDirect} +year={} +howpublished={\url{https://www.sciencedirect.com/science/article/abs/pii/S0167732216302318}} +} diff --git a/team-6/ME20B112/ME20B112.eps b/team-6/ME20B112/ME20B112.eps new file mode 100644 index 0000000..171bac1 --- /dev/null +++ b/team-6/ME20B112/ME20B112.eps @@ -0,0 +1,446 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: cairo 1.15.12 (http://cairographics.org) +%%CreationDate: Sun Jul 4 12:38:23 2021 +%%Pages: 1 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%BoundingBox: 0 0 308 150 +%%EndComments +%%BeginProlog +50 dict begin +/q { gsave } bind def +/Q { grestore } bind def +/cm { 6 array astore concat } bind def +/w { setlinewidth } bind def +/J { setlinecap } bind def +/j { setlinejoin } bind def +/M { 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index 0000000..c749373 --- /dev/null +++ b/team-6/ME20B112/ME20B112.tex @@ -0,0 +1,27 @@ +\section{Monisha C ME20B112} +\subsection{poisson's equation}~\cite{poisson's} +\begin{equation} +\nabla \cdot E = \frac{\rho_v}{\varepsilon} = \nabla^2 V +\end {equation} +\begin{flushleft} +$E$ = Electric \ field \\ +$\rho$ = volume \ charge \ density \\ +$\varepsilon$ = premittivity\\ +$V$ = Electric \ Potential +\end{flushleft} + +\paragraph{} +Note that Poisson’s Equation is a partial differential equation, and therefore can be solved using well-known techniques already established for such equations. In fact, Poisson’s Equation is an inhomogeneous differential equation, with the inhomogeneous part -{$\rho$}v/{$\epsilon$} representing the source of the field. In the presence of material structure, we identify the relevant boundary conditions at the interfaces between materials, and the task of finding V(r) is reduced to the purely mathematical task of solving the associated boundary value problem. + + +\begin{figure}[h] +\begin{center} +\includegraphics[scale=0.5]{ME20B112.eps} +\caption{ME20B112}~\cite{me20b112} +\label{fig:poisson} +\end{center} +\end{figure} + + + + diff --git a/team-6/ME20B183/ME20B183.bib b/team-6/ME20B183/ME20B183.bib new file mode 100644 index 0000000..37eff43 --- /dev/null +++ b/team-6/ME20B183/ME20B183.bib @@ -0,0 +1,6 @@ +@misc{webref, +author={Wikipedia}, +title={Clausius Theorem}, +year={}, +howpublished={\url{https://en.wikipedia.org/wiki/Clausius_theorem}} +} diff --git a/team-6/ME20B183/ME20B183.eps b/team-6/ME20B183/ME20B183.eps new file mode 100644 index 0000000..6186eef Binary files /dev/null and b/team-6/ME20B183/ME20B183.eps differ diff --git a/team-6/ME20B183/ME20B183.tex b/team-6/ME20B183/ME20B183.tex new file mode 100644 index 0000000..cd9a478 --- /dev/null +++ b/team-6/ME20B183/ME20B183.tex @@ -0,0 +1,28 @@ + +%ME20B183 BEGINNING POINT +\section{Swapnil Paresh Mehta} +\subsection{Clausius Theorem} +The Clausius theorem (1855) states that for a thermodynamic system (e.g. heat engine or heat pump) exchanging heat with external reservoirs and undergoing a thermodynamic cycle, +\linebreak +\begin{center} + +\begin{equation} +\oint \dfrac{\delta Q}{T_{Surr}} \leqslant 0 +\label{eqn:CLAUSIUS} +\end{equation} +\end{center} +\begin{itemize} +\item $\delta Q$ - The infinitesimal amount of heat absorbed by the system from the reservoir +\item $T_{Surr}$ - The temperature of the external reservoir (surroundings) at a particular instant in time. +\end{itemize} + +\subsection{Importance} +The Clausius theorem ~\ref{eqn:CLAUSIUS} is a mathematical explanation of the second law of thermodynamics. It was developed by Rudolf Clausius who intended to explain the relationship between the heat flow in a system and the entropy of the system and its surroundings. Clausius developed this in his efforts to explain entropy and define it quantitatively. In more direct terms, the theorem gives us a way to determine if a cyclical process is reversible or irreversible. The Clausius theorem provides a quantitative formula for understanding the second law. + +\begin{figure}[hbtp] +\caption{Carnot Engine} +\centering +\includegraphics[]{ME20B183.eps} +\label{fig:CARNOT} +\end{figure} +~\cite{webref} diff --git a/team-6/images/ME20B029.eps b/team-6/images/ME20B029.eps new file mode 100644 index 0000000..b1e5e9a --- /dev/null +++ b/team-6/images/ME20B029.eps @@ -0,0 +1,1102 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: GIMP PostScript file plug-in V 1.17 by Peter Kirchgessner +%%Title: ME20B029.eps +%%CreationDate: Sun Jul 4 13:03:44 2021 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%Pages: 1 +%%BoundingBox: 14 14 83 84 +%%EndComments +%%BeginProlog +% Use own dictionary to avoid conflicts +10 dict begin +%%EndProlog +%%Page: 1 1 +% Translate for offset +14.173228346456694 14.173228346456694 translate +% Translate to begin of first scanline +0 68.879999999999995 translate +68.640000000000001 -68.879999999999995 scale +% Image geometry +286 287 8 +% 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diff --git a/team-6/images/mm20b043.eps b/team-6/images/mm20b043.eps new file mode 100644 index 0000000..a6274d1 --- /dev/null +++ b/team-6/images/mm20b043.eps @@ -0,0 +1,3021 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (/output/Screenshot from 2021-07-04 20-44-34.eps) +%%CreationDate: (2021-07-04T15:15:32+00:00) +%%BoundingBox: -0 -0 211 169 +%%HiResBoundingBox: 0 0 211 169 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt { PseudoClassImage } { DirectClassImage } ifelse + 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335.734 81.801 336.434 c 83.301 337.734 +83.398 337.633 82.102 336.031 c 80.801 334.434 80 333.934 80 334.734 c h +80 334.734 m f +Q Q +showpage +%%Trailer +end +%%EOF diff --git a/team-6/me20b017/me20b017.tex b/team-6/me20b017/me20b017.tex new file mode 100644 index 0000000..1fcb78d --- /dev/null +++ b/team-6/me20b017/me20b017.tex @@ -0,0 +1,37 @@ +%me20b017 start +\section{Akhil Koshy Rajesh me20b017} +\subsection{Viscous Force} + +The viscous force~\cite{refer} is the force between a body and a fluid (liquid or gas) +moving past it, in a direction so as to oppose the flow of the fluid past +the object. In particular, the force acts on the object in the direction in +which the fluid is moving relative to it and hence, opposite to the +direction in which it is moving relative to the fluid.The equation of +viscous force is given by: +\begin{equation} +F = \eta A \frac{\partial v}{\partial z} +\label{eqn:viscous} +\end{equation} +\begin{figure}[h] + \begin{center} + \includegraphics[scale=0.6]{me20b017.eps} + \end{center} +\caption{Viscosity between the layers of a fluid} +\label{fig:viscous} +\end{figure} + +\subsubsection{Terms used in the equation} +\begin{itemize} + \item F - Viscous Force + \item $\eta$ - viscosity of fluid + \item A - Area of each plate + \item $\frac{\partial v}{\partial z}$ - Velocity gradient +\end{itemize} + +\subsubsection{Importance of Viscous Force} +Viscous Force obtained using Equation~\ref{eqn:viscous} helps us to find +out the viscous force existing between two surfaces. Viscosity is a kind +of friction which exists between fluids. As shown in Figure .~\ref{fig:viscous} +each layer of a fluid experiences different viscous force compared to +other. +%me20b017 end diff --git a/team-6/meetpic.jpg b/team-6/meetpic.jpg new file mode 100644 index 0000000..f11d0d5 Binary files /dev/null and b/team-6/meetpic.jpg differ diff --git a/team-6/mm20b043/mm20b043.bib b/team-6/mm20b043/mm20b043.bib new file mode 100644 index 0000000..3369de7 --- /dev/null +++ b/team-6/mm20b043/mm20b043.bib @@ -0,0 +1,6 @@ +@misc{bibfile, +author={Wikipedia}, +title={Coulomb's law}, +year={}, +howpublished={\url{https://en.wikipedia.org/wiki/Coulomb%27s_law}} +} diff --git a/team-6/mm20b043/mm20b043.eps b/team-6/mm20b043/mm20b043.eps new file mode 100644 index 0000000..a6274d1 --- /dev/null +++ b/team-6/mm20b043/mm20b043.eps @@ -0,0 +1,3021 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (ImageMagick) +%%Title: (/output/Screenshot from 2021-07-04 20-44-34.eps) +%%CreationDate: (2021-07-04T15:15:32+00:00) +%%BoundingBox: -0 -0 211 169 +%%HiResBoundingBox: 0 0 211 169 +%%DocumentData: Clean7Bit +%%LanguageLevel: 1 +%%Pages: 1 +%%EndComments + +%%BeginDefaults +%%EndDefaults + +%%BeginProlog +% +% Display a color image. The image is displayed in color on +% Postscript viewers or printers that support color, otherwise +% it is displayed as grayscale. +% +/DirectClassPacket +{ + % + % Get a DirectClass packet. + % + % Parameters: + % red. + % green. + % blue. + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/DirectClassImage +{ + % + % Display a DirectClass image. + % + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { DirectClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayDirectClassPacket } image + } ifelse +} bind def + +/GrayDirectClassPacket +{ + % + % Get a DirectClass packet; convert to grayscale. + % + % Parameters: + % red + % green + % blue + % length: number of pixels minus one of this color (optional). + % + currentfile color_packet readhexstring pop pop + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/GrayPseudoClassPacket +{ + % + % Get a PseudoClass packet; convert to grayscale. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + color_packet 0 get 0.299 mul + color_packet 1 get 0.587 mul add + color_packet 2 get 0.114 mul add + cvi + /gray_packet exch def + compression 0 eq + { + /number_pixels 1 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add def + } ifelse + 0 1 number_pixels 1 sub + { + pixels exch gray_packet put + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassPacket +{ + % + % Get a PseudoClass packet. + % + % Parameters: + % index: index into the colormap. + % length: number of pixels minus one of this color (optional). + % + currentfile byte readhexstring pop 0 get + /offset exch 3 mul def + /color_packet colormap offset 3 getinterval def + compression 0 eq + { + /number_pixels 3 def + } + { + currentfile byte readhexstring pop 0 get + /number_pixels exch 1 add 3 mul def + } ifelse + 0 3 number_pixels 1 sub + { + pixels exch color_packet putinterval + } for + pixels 0 number_pixels getinterval +} bind def + +/PseudoClassImage +{ + % + % Display a PseudoClass image. + % + % Parameters: + % class: 0-PseudoClass or 1-Grayscale. + % + currentfile buffer readline pop + token pop /class exch def pop + class 0 gt + { + currentfile buffer readline pop + token pop /depth exch def pop + /grays columns 8 add depth sub depth mul 8 idiv string def + columns rows depth + [ + columns 0 0 + rows neg 0 rows + ] + { currentfile grays readhexstring pop } image + } + { + % + % Parameters: + % colors: number of colors in the colormap. + % colormap: red, green, blue color packets. + % + currentfile buffer readline pop + token pop /colors exch def pop + /colors colors 3 mul def + /colormap colors string def + currentfile colormap readhexstring pop pop + systemdict /colorimage known + { + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { PseudoClassPacket } false 3 colorimage + } + { + % + % No colorimage operator; convert to grayscale. + % + columns rows 8 + [ + columns 0 0 + rows neg 0 rows + ] + { GrayPseudoClassPacket } image + } ifelse + } ifelse +} bind def + +/DisplayImage +{ + % + % Display a DirectClass or PseudoClass image. + % + % Parameters: + % x & y translation. + % x & y scale. + % label pointsize. + % image label. + % image columns & rows. + % class: 0-DirectClass or 1-PseudoClass. + % compression: 0-none or 1-RunlengthEncoded. + % hex color packets. + % + gsave + /buffer 512 string def + /byte 1 string def + /color_packet 3 string def + /pixels 768 string def + + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + x y translate + currentfile buffer readline pop + token pop /x exch def + token pop /y exch def pop + currentfile buffer readline pop + token pop /pointsize exch def pop + x y scale + currentfile buffer readline pop + token pop /columns exch def + token pop /rows exch def pop + currentfile buffer readline pop + token pop /class exch def pop + currentfile buffer readline pop + token pop /compression exch def pop + class 0 gt { PseudoClassImage } { DirectClassImage } ifelse + 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+\subsection{Coloumbs Law} +Coulomb force~\cite{bibfile} is the force between two stationary electric charge particle +.The equation of coulumb force is given by: +\begin{equation} +F=\frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2} +\label{eqn:coloumb} +\end{equation} +\subsubsection{Terms used in the equation} +\begin{enumerate} + \item F-viscous forece + \item$\epsilon$-constant + \item$\frac{q_1 q_2}{r^2}$-product of magnitude of two charges divided by square of distance between two charges +\end{enumerate} +\begin{figure}[h] + \begin{center} + \includegraphics[scale=0.6]{mm20b043.eps} + \end{center} +\caption{coulomb force between electric charges} +\label{fig:coloumb} +\end{figure} +\subsubsection{Description} +coulomb force obtained by using the equation~\ref{eqn:coloumb} above helps us to find force between two electrically charged particles which is essential in development of theory of electromagnetism. The same is mentioned in Figure~\ref{fig:coloumb}. diff --git a/team-6/team-6.bib b/team-6/team-6.bib index 11e01e6..3ac7772 100644 --- a/team-6/team-6.bib +++ b/team-6/team-6.bib @@ -1 +1,47 @@ % this file will contain bibliographic entries for all the references used by the team members +@misc{webref1, +author={Wikipedia}, +title={Biot-Savart law}, +year={}, +howpublished={\url{https://tinyurl.com/acjh9zfc}} +} +@misc{webref2, +year={}, +author={Physics Libretexts}, +howpublished={\url{https://tinyurl.com/4m896vj5}} +} +@misc{picture, +author={Topper Learning}, +year={}, +title={Current-carrying wire}, +howpublished={\url{https://tinyurl.com/2xp3t4em}} +} +@misc{poisson's, +author={Engineering Libre Texts}, +year={}, +howpublished={\url{https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/05%3A_Electrostatics/5.15%3A_Poisson%E2%80%99s_and_Laplace%E2%80%99s_Equations#:~:}} +} +@misc{me20b112, +author={ScienceDirect}, +year={}, +howpublished={\url{https://www.sciencedirect.com/science/article/abs/pii/S0167732216302318}} +} +@misc{refer, +author={Wikipedia}, +title={Viscous force}, +year={}, +howpublished={\url{https://en.wikipedia.org/wiki/Viscosity}} +} +@misc{bibfile, +author={Wikipedia}, +title={Coulomb's law}, +year={}, +howpublished={\url{https://en.wikipedia.org/wiki/Coulomb%27s_law}} +} +@misc{webref, +author={Wikipedia}, +title={Clausius Theorem}, +year={}, +howpublished={\url{https://en.wikipedia.org/wiki/Clausius_theorem}} +} + diff --git a/team-6/team-6.dvi b/team-6/team-6.dvi new file mode 100644 index 0000000..010d686 Binary files /dev/null and b/team-6/team-6.dvi differ diff --git a/team-6/team-6.tex b/team-6/team-6.tex index 480a367..fbbe3f7 100644 --- a/team-6/team-6.tex +++ b/team-6/team-6.tex @@ -1 +1,58 @@ -% this file should contain the master document and include statements for individual contributions +\documentclass[a4paper,12pt]{article} +\usepackage[left=1in,right=1in,top=1in,bottom=1in]{geometry} +\usepackage{graphicx} +\usepackage{hyperref} +\usepackage[utf8]{inputenc} +\usepackage{amssymb,latexsym,amsmath} +\usepackage{url} +\setlength{\parindent}{0cm} +\usepackage{amsmath} +\usepackage{kvsetkeys} +\usepackage{url} +\graphicspath{{images/}} +\begin{document} +\begin{titlepage} + \begin{center} + \vspace*{1cm} + \Huge + \textbf{MM2090-Introduction to Scientific Computing}\\ + \vspace{2cm} + \LARGE + ASSIGNMENT 4 + \vspace{1.5cm} + + \textbf{Team-6} + + \vfill + + Team Members + + \vspace{0.8cm} + + \Large + Akhil Koshy Rajesh - ME20B017\\ + Anushka S - ME20B029\\ + Monisha C - ME20B112\\ + Swapnil Paresh Mehta - ME20B183\\ + Nedunchezhiyan - MM20B043 + + \end{center} +\end{titlepage} + +\tableofcontents +\newpage +\input{./ME20B029/ME20B029.tex} +\newpage +\input{./me20b017/me20b017.tex} +\newpage +\input{./ME20B112/ME20B112.tex} +\newpage +\input{./ME20B183/ME20B183.tex} +\newpage +\input{./mm20b043/mm20b043.tex} +\newpage +\bibliography{team-6} +\bibliographystyle{plain} +\end{document} + + diff --git a/team-6/team_6.pdf b/team-6/team_6.pdf new file mode 100644 index 0000000..af12753 Binary files /dev/null and b/team-6/team_6.pdf differ