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Rogue Physicist.  Free resources for physics education © 2006-2016 Dorian Pascoe.  Email: dorian.pascoe@hotmail.co.uk

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A2 Unit G494

Chapter 10 - Modelling

Simulation

Description

Masses and Springs

Investigate the oscillations of mass-spring systems.  Complements work done in the lab.  Click here to load. 

WorldMaker

A tool for modelling probability-based or event-based scenarios.  Click here to download the installation file or click here to run the file from the server.

Giant Capacitor Your teacher will demonstrate how to make a giant capacitor using tinfoil and polythene.  Try to explain what you see using your ideas about charges.  It is also helpful to look at a simulation of the way that capacitors work in a circuit, using the circuit construction kit.

Capacitors and Exponentials Follow the instructions here to collect some data about the discharge of a capacitor.  When you have finished plot a graph of Voltage against time (you can use Excel if you wish).

You can now perform some  simple analysis to see if the voltage decreases as an exponential function.

• Plot a Voltage time graph and check the half-life is constant.

•Plot a graph of Ln(V) against t and see if it is a straight line.

The Beer Experiment Follow the instructions on this sheet to take measurements of the head on a pint of beer, as it decays.  Is it an exponential funtion?  Let's find out!

SAFETY ADVICE:  You are using Tesco value lager or bitter, in a plastic measuring cylinder.  Do not drink it, as the soul-crushing  despair which will ensue is very likely exponential in nature.  Also, you are not legally allowed to drink.

Decay of dice I Your teacher will explain to you how to complete a practical activity - observing rate of 'decay' of 'radioactive' dice.  Record your results in a spreadsheet and plot a graph of the results.  Does it follow an exponential pattern?  Carry out a test to see if it is exponential and use the formula given to calculate the decay constant.

Decay of dice II You are going to use excel to create a "model" of the dice decay practical.  Your teacher will explain the basic principles to you.  Extend your table to show 16 "iterations" and plot a graph of the results.  Use an exponential trendline to show the pattern followed by the results.  What differences do you notice between the results of the experiment, and the theoretical model?  You can see a completed copy of a spreadsheet here.

Once again, carry out a test to see if it is exponential and use the formula given to calculate the decay constant.

Modelling Capacitance Your teacher will explain how you can model the discharge of a capacitor in excel using iterative methods.  There is an example of a completed model here.

   
   
Nuclear decay equations - exponentials Complete this starter question to demonstrate your understanding of the analytical solution for radioactive decay.
Modelling Exponentials look at this spreadsheet to see how the number of iterations effects our estimate of the expected decay time of a sample of radioactive atoms.
Capacitance calculations Formula sheet - charge and capacitance including analytical solutions.

Question sheets:

Q60S - Charging capacitors

Q70S - Capacitor Discharge and Time Constants

Q110S - Energy Stored by Capacitors

Q140S - Capacitors with the Exponential Equation

Lancaster particle physics software Look at this software, (there will likely be a worksheet to go with this at some point...!)

 

 

 

 

Old Resources

Simulation

Description

Circuit Construction Kit Construct circuits from a variety of components, and observe the flow of charge etc. Click here to load.  or here
Capacitors Formula sheet - charge and capacitance including analytical solutions.
Energy stored on a capacitor Answer these simple questions.
Time constants for RC circuits Answer these simple questions.
Capacitor problems - exponentials Use the analytical solutions to solve these problems.
  worldmaker