How to calculate R thevenin (Circuits)

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Miike012
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I am not understanding how Rth is calculated..

What I've been doing is visualizing the path that the current would make. Rth is then the equivalent resistance of those resistors that current travels through.

Is that how it's suppose to be done?

Anyways... if you look at my pictures... the current can take the paths:
Left picture: Current does not travel through branch containing R2 or R2k due to short circuit.

Right Picture: Current travels up to point a where the current is divided through branch containing R1 and branch containing R2.Can someone help me with a general approach for finding Rth?

Would it help if I labeled the node voltages and then proceeded on finding Rth? Because I can see that current would not go through R2 because the potential through that branch is zero.
 

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Can you do mesh or nodal analysis to solve those circuits cause I can do that for you but forget R thevenin.
 
You have the right idea.

Miike012 said:
Left picture: Current does not travel through branch containing R2 or R2k due to short circuit.
There is no current through R2 or R2k because the voltage across each is zero due to the short circuit.

So you can redraw the circuit omitting those two paths (replace the resistances by open circuits), and examine what this leaves you with.

There is not much remaining of the circuit in this particular case.