Solving R_Thevenin in Circuit: Ignoring R_3?

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When calculating R_Thevenin, R_3 is ignored in the context of short circuit current because it does not draw current when shorted, as the short circuit is treated as having zero resistance. The voltage across R_3 is effectively zero in this scenario, leading to its exclusion from the calculations. However, R_3 must be considered when determining the open circuit voltage, as it influences the overall voltage in that situation. The rationale is that the resistance of R_3 becomes negligible compared to the short circuit condition. Understanding these distinctions is crucial for accurate Thevenin equivalent circuit analysis.
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When solving for R_{Thevenin} in the circuit below, why do you ignore R_3? Is it because the voltage through R_3 is zero?

[PLAIN]http://img197.imageshack.us/img197/88/thevenin.png
 
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You would ignore R3 for the short circuit current, but you would need to consider it for the open circuit voltage.

It doesn't draw any current if it is short circuited, because the short circuit is assumed to have zero resistance.
So compared with zero ohms, whatever resistance R3 has is infinitely large and the current it takes is infinitely small, or zero.
 

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