From d48ace08bcc91e80360c31cb8b1081a287a357b1 Mon Sep 17 00:00:00 2001 From: saikbrahma <86962113+saikbrahma@users.noreply.github.com> Date: Mon, 2 Aug 2021 14:25:37 +0530 Subject: [PATCH 1/3] Update main.tex Assignment 4 ME19B044 --- main.tex | 50 +++++++++++++++++++++++++++++++++++++++++++------- 1 file changed, 43 insertions(+), 7 deletions(-) diff --git a/main.tex b/main.tex index 2a269c5..2b3ea32 100644 --- a/main.tex +++ b/main.tex @@ -1,20 +1,56 @@ +\documentclass{article} \documentclass[a4paper, 12pt]{article} \usepackage[left=2cm, right=2cm, top=2cm, bottom=2cm]{geometry} \setlength{\parindent}{0cm} \usepackage{graphicx} +\usepackage{amsmath} +\usepackage[colorlinks=true, allcolors=blue]{hyperref} + \begin{document} -\title{Assignment 4} -\author{ID2090 Students} -\date{\today} +\author{Sai Karthik Brahma} + +\title{ID2090 Assignment 4} + \maketitle +\begin{abstract} +This paper consists my favourite equations in Physics. +\end{abstract} \tableofcontents -\section{Introduction} -Add a line to include your text as illustrated in the comment below. -% \section{ME20B001} -% \include{me20b001} +\section{Introduction to the Maxwell's Equations} + +Maxwell's Equations are a set of 4 complicated equations that describe the world of electromagnetics. These equations describe how electric and magnetic fields propagate, interact, and how they are influenced by objects. + +James Clerk Maxwell genius who took a set of known experimental laws (Faraday's Law, Ampere's Law) and unified them into a set of Equations known as Maxwell's Equations. + +Maxwell was one of the first to determine the speed of propagation of electromagnetic (EM) waves was the same as the speed of light - and hence to conclude that EM waves and visible light were really the same thing. + +An important consequence of \href{https://en.wikipedia.org/wiki/Maxwell's_equations} {Maxwell's equations} is that they demonstrate how fluctuating electric and magnetic fields propagate at a constant speed (c) in a vacuum. Known as electromagnetic radiation, these waves may occur at various wavelengths to produce a spectrum of light from radio waves to gamma rays. + + +\subsection{Maxwells Equation's} + +Maxwell's Equations are laws - just like the law of gravity. These equations are rules the universe uses to govern the behavior of electric and magnetic fields + + +\begin{equation} +\Vec{\nabla}.\Vec{E} = \dfrac{\rho}{\epsilon_0} +\end{equation} + +\begin{equation} +\Vec{\nabla}.\Vec{B} = 0 +\end{equation} + +\begin{equation} +\vec{\nabla}.\times\vec{E} = -\dfrac{\partial B}{\partial t} +\end{equation} + +\begin{equation} +\vec{\nabla}.\times\vec{B} = \mu_0\vec{J} + \dfrac{1}{c^2}\dfrac{\partial E}{\partial t} +\end{equation} + \end{document} From 913f044d8fcce8f7dffaff2aaff4c57a15647eeb Mon Sep 17 00:00:00 2001 From: saikbrahma <86962113+saikbrahma@users.noreply.github.com> Date: Mon, 2 Aug 2021 02:20:35 -0700 Subject: [PATCH 2/3] Add files via upload --- ME19B044.tex | 56 ++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 56 insertions(+) create mode 100644 ME19B044.tex diff --git a/ME19B044.tex b/ME19B044.tex new file mode 100644 index 0000000..b9d1c0d --- /dev/null +++ b/ME19B044.tex @@ -0,0 +1,56 @@ +\documentclass{article} +\documentclass[a4paper, 12pt]{article} +\usepackage[left=2cm, right=2cm, top=2cm, bottom=2cm]{geometry} +\setlength{\parindent}{0cm} +\usepackage{graphicx} +\usepackage{amsmath} +\usepackage[colorlinks=true, allcolors=blue]{hyperref} + +\begin{document} + +\author{Sai Karthik Brahma} + +\title{ID2090 Assignment 4} + +\maketitle + +\begin{abstract} +This paper consists my favourite equations in Physics. +\end{abstract} +\tableofcontents + + +\section{Introduction to the Maxwell's Equations} + +Maxwell's Equations are a set of 4 complicated equations that describe the world of electromagnetics. These equations describe how electric and magnetic fields propagate, interact, and how they are influenced by objects. + +James Clerk Maxwell genius who took a set of known experimental laws (Faraday's Law, Ampere's Law) and unified them into a set of Equations known as Maxwell's Equations. + +Maxwell was one of the first to determine the speed of propagation of electromagnetic (EM) waves was the same as the speed of light - and hence to conclude that EM waves and visible light were really the same thing. + +An important consequence of \href{https://en.wikipedia.org/wiki/Maxwell's_equations} {Maxwell's equations} is that they demonstrate how fluctuating electric and magnetic fields propagate at a constant speed (c) in a vacuum. Known as electromagnetic radiation, these waves may occur at various wavelengths to produce a spectrum of light from radio waves to gamma rays. + + +\subsection{Maxwells Equation's} + +Maxwell's Equations are laws - just like the law of gravity. These equations are rules the universe uses to govern the behavior of electric and magnetic fields + + +\begin{equation} +\Vec{\nabla}.\Vec{E} = \dfrac{\rho}{\epsilon_0} +\end{equation} + +\begin{equation} +\Vec{\nabla}.\Vec{B} = 0 +\end{equation} + +\begin{equation} +\vec{\nabla}.\times\vec{E} = -\dfrac{\partial B}{\partial t} +\end{equation} + +\begin{equation} +\vec{\nabla}.\times\vec{B} = \mu_0\vec{J} + \dfrac{1}{c^2}\dfrac{\partial E}{\partial t} +\end{equation} + + +\end{document} \ No newline at end of file From bcde21d929f0eeea7324b107212a9604aefb0243 Mon Sep 17 00:00:00 2001 From: saikbrahma <86962113+saikbrahma@users.noreply.github.com> Date: Mon, 2 Aug 2021 14:52:25 +0530 Subject: [PATCH 3/3] Update main.tex --- main.tex | 50 +++++++------------------------------------------- 1 file changed, 7 insertions(+), 43 deletions(-) diff --git a/main.tex b/main.tex index 2b3ea32..88a21f6 100644 --- a/main.tex +++ b/main.tex @@ -1,56 +1,20 @@ -\documentclass{article} \documentclass[a4paper, 12pt]{article} \usepackage[left=2cm, right=2cm, top=2cm, bottom=2cm]{geometry} \setlength{\parindent}{0cm} \usepackage{graphicx} -\usepackage{amsmath} -\usepackage[colorlinks=true, allcolors=blue]{hyperref} - \begin{document} -\author{Sai Karthik Brahma} - -\title{ID2090 Assignment 4} - +\title{Assignment 4} +\author{ID2090 Students} +\date{\today} \maketitle -\begin{abstract} -This paper consists my favourite equations in Physics. -\end{abstract} \tableofcontents +\section{Introduction} +Add a line to include your text as illustrated in the comment below. -\section{Introduction to the Maxwell's Equations} - -Maxwell's Equations are a set of 4 complicated equations that describe the world of electromagnetics. These equations describe how electric and magnetic fields propagate, interact, and how they are influenced by objects. - -James Clerk Maxwell genius who took a set of known experimental laws (Faraday's Law, Ampere's Law) and unified them into a set of Equations known as Maxwell's Equations. - -Maxwell was one of the first to determine the speed of propagation of electromagnetic (EM) waves was the same as the speed of light - and hence to conclude that EM waves and visible light were really the same thing. - -An important consequence of \href{https://en.wikipedia.org/wiki/Maxwell's_equations} {Maxwell's equations} is that they demonstrate how fluctuating electric and magnetic fields propagate at a constant speed (c) in a vacuum. Known as electromagnetic radiation, these waves may occur at various wavelengths to produce a spectrum of light from radio waves to gamma rays. - - -\subsection{Maxwells Equation's} - -Maxwell's Equations are laws - just like the law of gravity. These equations are rules the universe uses to govern the behavior of electric and magnetic fields - - -\begin{equation} -\Vec{\nabla}.\Vec{E} = \dfrac{\rho}{\epsilon_0} -\end{equation} - -\begin{equation} -\Vec{\nabla}.\Vec{B} = 0 -\end{equation} - -\begin{equation} -\vec{\nabla}.\times\vec{E} = -\dfrac{\partial B}{\partial t} -\end{equation} - -\begin{equation} -\vec{\nabla}.\times\vec{B} = \mu_0\vec{J} + \dfrac{1}{c^2}\dfrac{\partial E}{\partial t} -\end{equation} - +% \section{ME20B001} +\include{ME19B044} \end{document}