Using the gradient of V/I curve to find Resistance or average results and input into equation?

Question

Assume there is a set of results for both current and voltage. Would it be more significant to take an average of all of all the currents collected, and all of the voltages collected, and then divide the average voltage by the average current to get an average resistance. Or, on the other hand would it be more accurate to plot the results onto a graph (of voltage over current) and find the gradient corresponding to the resistance of the data? and also why?

Answer 1

It is better to plot a graph because that way you will notice any results containing random errors (they will be significantly off the straight-line pattern revealed by your 'reliable' measurements).



Drawing a line of best fit that ignores these unreliable results will give a more reliable answer .. simply averaging would incorporate these errors in your final answer.

Answer 2

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Answer 3

If the data points indicate the resistance is linear, you can just use the slope of deltaV/deltaI for the resistance. If it is nonlinear, then you need to solve the problem graphically.