To find Rth in Thevenin circuits, the selected resistors are crucial as they determine the resistance between nodes A and B after removing current sources. The 1K resistors are used for this purpose, while the 2K resistor does not affect Rth due to its disconnection. To calculate Voc, any method can be applied, but determining the currents through the 1K resistors is key. By multiplying these currents by 1000 and summing the voltages across the resistors, considering polarity, Voc can be accurately found. Understanding the role of each resistor is essential for both Rth and Voc calculations.