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Question about virtual ground

@Aristizabal95
10 years ago
https://everycircuit.com/circuit/6182355111247872
Here I made the typical configuration to make a virtual ground. Now once I connect a resistor to the virtual ground, the voltage changes because the resistors add in parallel. Now, I made another configuration myself, in which case I can connect the resistor without changing the voltage across. My question is, Why is the first configuration most commonly used? Am I making something wrong??
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