In short circuit condition, what is wrong with following derivation

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SUMMARY

The discussion centers on the derivation of voltage in a circuit under short circuit conditions, specifically analyzing the equation V=ir and its implications. The conclusion highlights inconsistencies in the use of symbols, particularly the representation of voltage (V) and electromotive force (E). It is established that the analysis mistakenly assumes a load resistance equal to the internal resistance of a physical cell, which complicates the interpretation of the circuit's behavior.

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V=ir considering the whole circuit
Now we knowV=E-ir
Then ir=E-ir Therefore i=E/2r
Therefore,V=E/2
 
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There is too much context missing. Where do you measure the voltage V? What is E? One of them seems to be used inconsistently.
Why is there a resistor if it's a short circuit?
 
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Like @mfb said it's hard to help properly without further information, though I presume you're referring to a physical cell with internal resistance being shorted.

In that case, you're mixing up symbols. Your analysis as it stands is actually for a circuit with load resistance equal to the internal resistance.
 
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