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#+TITLE: Plotting Experimental Data
#+AUTHOR: FOSSEE
#+DATE: 2010-09-14 Tue
#+EMAIL: info@fossee.in
#+DESCRIPTION:
#+KEYWORDS:
#+LANGUAGE: en
#+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t
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* Outline
- Defining sequence of numbers
- Squaring sequence of numbers
- Plotting Data Points
- Indicating Error through Errorbars
* Simple Pendulum Data
#+ORGTBL: L vs T^2 orgtbl-to-latex
| L | T |
| 0.1 | 0.69 |
| 0.2 | 0.90 |
| 0.3 | 1.19 |
| 0.4 | 1.30 |
| 0.5 | 1.47 |
| 0.6 | 1.58 |
| 0.7 | 1.77 |
| 0.8 | 1.83 |
| 0.9 | 1.94 |
* Initializing L & T
: L = [0.1, 0.2, 0.3, 0.4, 0.5,
: 0.6, 0.7, 0.8, 0.9]
: t = [0.69, 0.90, 1.19,
: 1.30, 1.47, 1.58,
: 1.77, 1.83, 1.94]
* Question 1
- Plot the given experimental data with large dots.
The data is on your screen.
* Question 1 Data
#+ORGTBL: L vs T^2 orgtbl-to-latex
| S | n |
| 0.19 | 10.74 |
| 0.38 | 14.01 |
| 0.57 | 18.52 |
| 0.77 | 20.23 |
| 0.96 | 22.88 |
| 1.15 | 24.59 |
| 1.34 | 27.55 |
| 1.54 | 28.48 |
| 1.73 | 30.20 |
* Solution 1
: S=[0.19,0.38,0.57,0.77,0.96,
: 1.15,1.34,1.54,1.73]
: n=[10.74,14.01,18.52,20.23,
: 22.88,24.59,27.55,28.48,30.20]
: plot(S,n,'o')
* Question 2
- Plot the given experimental data with small dots.
The data is on your screen.
* Question 2 Data
#+ORGTBL: L vs T^2 orgtbl-to-latex
| P | D |
| 1.48 | 0.68 |
| 2.96 | 0.89 |
| 4.44 | 1.18 |
| 5.92 | 1.29 |
| 7.40 | 1.46 |
| 8.88 | 1.57 |
| 10.3 | 1.76 |
| 11.8 | 1.82 |
| 13.3 | 1.93 |
* Solution 2
: P=[1.48,2.96,4.44,5.92,7.40,
: 8.88,10.3,11.8,13.3]
: D=[0.68,0.89,1.18,1.29,1.46,
: 1.57,1.76,1.82,1.93]
: plot(P,D,'.')
* Adding Error
#+ORGTBL: L vs T^2 orgtbl-to-latex
| L | T | \delta L | \delta T |
| 0.1 | 0.69 | 0.08 | 0.04 |
| 0.2 | 0.90 | 0.09 | 0.08 |
| 0.3 | 1.19 | 0.07 | 0.03 |
| 0.4 | 1.30 | 0.05 | 0.05 |
| 0.5 | 1.47 | 0.06 | 0.03 |
| 0.6 | 1.58 | 0.00 | 0.03 |
| 0.7 | 1.77 | 0.06 | 0.04 |
| 0.8 | 1.83 | 0.06 | 0.07 |
| 0.9 | 1.94 | 0.01 | 0.08 |
* Plotting Error bar
: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T,
: fmt='b.')
* Question 1
- Plot the given experimental data with large green dots.Also include
the error in your plot.
* Question 1 Data
#+ORGTBL: L vs T^2 orgtbl-to-latex
| S | n | \delta S | \delta n |
| 0.19 | 10.74 | 0.006 | 0.61 |
| 0.38 | 14.01 | 0.006 | 0.69 |
| 0.57 | 18.52 | 0.005 | 0.53 |
| 0.77 | 20.23 | 0.003 | 0.38 |
| 0.96 | 22.88 | 0.004 | 0.46 |
| 1.15 | 24.59 | 0.007 | 0.37 |
| 1.34 | 27.55 | 0.004 | 0.46 |
| 1.54 | 28.48 | 0.004 | 0.46 |
| 1.73 | 30.20 | 0.007 | 0.37 |
* Solution 1
: S=[0.19,0.38,0.57,0.77,0.96,
: 1.15,1.34,1.54,1.73]
: n=[10.74,14.01,18.52,20.23,
: 22.88,24.59,27.55,28.48,30.20]
: delta_S=[0.006,0.006,0.005,0.003,
: 0.004,0.007,0.004,0.004,0.007]
: delta_n=[0.61,0.69,0.53,0.38,0.46,
: 0.37,0.46,0.46,0.37]
: errorbar(S,n,xerr=delta_S, yerr=delta_n,
: fmt='go')
* Summary
: L = [0.1, 0.2, 0.3, 0.4, 0.5,
: 0.6, 0.7, 0.8, 0.9]
: plot(x,y,'o')
: plot(x,y,'.')
* Thank you!
#+begin_latex
\begin{block}{}
\begin{center}
This spoken tutorial has been produced by the
\textcolor{blue}{FOSSEE} team, which is funded by the
\end{center}
\begin{center}
\textcolor{blue}{National Mission on Education through \\
Information \& Communication Technology \\
MHRD, Govt. of India}.
\end{center}
\end{block}
#+end_latex