In physics practical work we frequently plot straight line graphs that we use to calculate an unknown quantity. But how is the graph used to determine the quantities of interest? In this video I demonstrate how to derive the log equation from an experiment's equation and compare that to y = mx + c so that we can relate the graph's gradient and y-intercept to unknown quantities. I demonstrate the method by analysing three real equations and graphs:
1. T = cmⁿ
2. V = V₀ e^{-t/RC}
3. A = A₀ e^{-λt}
This video follows on from the first video [
https://youtu.be/EZuOvJplx9M] in which I handle the comparison of equations with y = mx + c. If you're unfamiliar with the concept it's best to watch that video first.
You can download the worksheet I used in this video here: https://physicshq.wixsite.com/alevelphysicshq/question-sheets
Relevant concepts: physics graphs, gradient, y-intercept, equation, algebra, straight line, graphical analysis, log graphs, log equations