You are not considering the voltage correctly.
You measure voltage between 2 points. So if you got 3 things in series with all the same resistance, A-B-C. Let say we got 6v. It would be 6v A 4v B 2v C 0v in the series.
The voltage between each component is 2v. All the components have the same R so I should be the same through all of them.
The Voltage on A is 6v. The voltage after C is 0v, that a 6v different, 3x bigger, but now you add A+B+C resistance since they are in series, so 3x the voltage over 3x the resistance has you end up at the same current.
You are not considering the voltage correctly.
You measure voltage between 2 points. So if you got 3 things in series with all the same resistance, A-B-C. Let say we got 6v. It would be 6v A 4v B 2v C 0v in the series.
The voltage between each component is 2v. All the components have the same R so I should be the same through all of them.
The Voltage on A is 6v. The voltage after C is 0v, that a 6v different, 3x bigger, but now you add A+B+C resistance since they are in series, so 3x the voltage over 3x the resistance has you end up at the same current.
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