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Why Is R1 Ignored in Thevenin Equivalent Calculation With Open Circuit Between A and B?

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  • Open-circuit condition makes R1 carry no current

    #1 21679650
    Samson Wick
    Anonymous  
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  • R1 affects only the Thevenin resistance calculation

    #2 21679651
    Richard Gabric
    Anonymous  
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  • Two-step Thevenin reduction including R1

    #3 21679652
    Elizabeth Simon
    Anonymous  
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  • Thevenin equivalent gives 7.5 V and 2 kΩ

    #4 21679653
    David Ashton
    Anonymous  
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  • #5 21679654
    Samson Wick
    Anonymous  
  • Correction of typo in Thevenin explanation

    #6 21679655
    David Ashton
    Anonymous  
  • #7 21679656
    Samson Wick
    Anonymous  

Topic summary

LABEL_AI_GENERATED
The discussion clarifies why resistor R1 is initially ignored when calculating the Thevenin equivalent voltage across terminals A and B in an open-circuit condition. Since no current flows through R1 under open-circuit conditions, there is no voltage drop across it, making it irrelevant for the initial Thevenin voltage calculation. Thevenin’s theorem involves two steps: first, determining the open-circuit voltage (Thevenin voltage) where R1 does not affect the voltage; second, calculating the equivalent resistance by shorting voltage sources, where R1 is included. Once both Thevenin voltage and resistance are found, the complete equivalent circuit accurately models the original circuit’s behavior. When a load is connected across A and B, current flows through R1, and its effect becomes significant. Alternative approaches include shifting the reference point beyond R1 to incorporate it into the equivalent resistance before recombining the circuit. Practical measurement considerations, such as using a digital multimeter with high input resistance, support the theoretical open-circuit voltage findings. The discussion emphasizes the importance of understanding the stepwise process of Thevenin equivalent derivation to reconcile the apparent omission of R1 in initial voltage calculations.
AI summary based on the discussion. May contain errors.
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