Analyzing Errors of a Wheatsone Bridge Experiment

[nrslmz]

I have done the data processing for a Wheatsone bridge experiment. The data are:
79,66 79,30
136,70 126,60
188,08 173,40
204,00 196,00
243,90 237,40
260,96 257,40
111,34 93,90
240,00 240,00
341,20 344,10
380,92 398,10
164,00 144,00
241,20 218,80
288,00 280,00
293,40 266,50
424,56 420,00
273,40 247,10
124,54 90,40
Normally, the paired ones are supposed to be equal. So how am I going to analyze the errors? Standart deviation, or something else? How am I supposed to find the absolute and percentage errors?

 

[jbsteele]

To analyze the errors, you could use a variety of methods including standard deviation, mean absolute error, and mean squared error. To find the absolute and percentage errors, you would calculate the difference between each pair of measured values and compute the absolute error (difference) and percentage error (relative to the true value).

 

[thomate1]

Thank you for sharing your data from the Wheatstone bridge experiment. It is important to analyze and understand errors in scientific experiments to ensure the accuracy and reliability of results.

To analyze the errors in your experiment, you can start by calculating the absolute difference between the paired data points. For example, for the first pair (79.66 and 79.30), the absolute difference would be 0.36. You can then calculate the average absolute difference for all the paired data points.

To measure the spread of the data, you can calculate the standard deviation. This will give you an idea of how much the data deviates from the mean value. A higher standard deviation indicates a larger spread of the data points and potentially larger errors.

To find the absolute error, you can compare each data point to the expected or theoretical value. In this case, the expected value for each pair should be equal. So, for the first pair, the absolute error would be 0.36 since the expected value is 79.48 (average of 79.66 and 79.30).

To calculate the percentage error, you can divide the absolute error by the expected value and multiply by 100. This will give you the percentage difference between the experimental and expected values. This can help identify any systematic errors in the experiment.

In addition to these measures, it is also important to carefully review the experimental procedure and equipment used to identify any potential sources of error. This can help improve the accuracy of future experiments.

I hope this helps you in analyzing the errors in your Wheatstone bridge experiment. If you have any further questions or need assistance with the data analysis, please do not hesitate to reach out for help.