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I understand that when calculating the total resistance in a balanced wheatstone bridge, the middle resistor's resistance is ignored. But what happens when I include it's value and calculate the total resistance?

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    $\begingroup$ If you do that, your answer becomes incorrect, as in a balanced Wheatstone Bridge the potential difference across the "middle" resistor is $0$ and hence no current flows through it. $\endgroup$
    – Aditya Kumar Panda
    Commented Jun 12, 2023 at 15:37
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    $\begingroup$ If the bridge is balanced, the total resistance is the same with or without the middle resistor. $\endgroup$
    – nasu
    Commented Jun 12, 2023 at 15:53

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