I have a simple circuit with two resistors connected in, Physics

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I have a simple circuit with two resistors connected in

I have a simple circuit, with two resistors connected in series, R1 at 10 Ohms, and R2 at 100 Ohms.

Would there be a difference in their total resistance if I just measure it across both of them, and when I add, but not turn on, a power source. Would the fact that a power source, even when turned off, has a bit of internal resistance cause the overall resistance of the circuit to go up?

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