Solving R_Thevenin in Circuit: Ignoring R_3?

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In summary, solving for R<sub>Thevenin</sub> in a circuit is important because it allows us to simplify complex circuits into a single equivalent circuit. To solve for R<sub>Thevenin</sub>, we identify the circuit components connected to the load resistor and determine the equivalent resistance of the remaining circuit. Ignoring R<sub>3</sub> in the calculation of R<sub>Thevenin</sub> is significant because it allows us to remove a component and still obtain an accurate equivalent resistance value. R<sub>Thevenin</sub> cannot be negative and finding the Thevenin equivalent circuit is important for simplifying circuits, analyzing behavior, and determining maximum power delivery.
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When solving for [itex]R_{Thevenin}[/itex] in the circuit below, why do you ignore [itex]R_3[/itex]? Is it because the voltage through [itex]R_3[/itex] 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.
 

FAQ: Solving R_Thevenin in Circuit: Ignoring R_3?

What is the purpose of solving for RThevenin in a circuit?

Thevenin's theorem is a useful tool in circuit analysis that allows us to simplify complex circuits into a single equivalent circuit. Solving for RThevenin helps us find the equivalent resistance of a circuit, which is necessary for further analysis and calculations.

How do you solve for RThevenin in a circuit?

To solve for RThevenin, we first need to identify the circuit components that are connected to the load resistor. Then, we remove the load resistor and determine the equivalent resistance of the remaining circuit using series and parallel resistor rules. This equivalent resistance is the value of RThevenin.

What is the significance of ignoring R3 in the calculation of RThevenin?

The purpose of calculating RThevenin is to simplify a complex circuit into a single equivalent circuit. Ignoring R3 allows us to remove a component from the circuit and still obtain an accurate equivalent resistance value. This is possible because R3 does not affect the overall equivalent resistance of the circuit.

Can RThevenin be negative?

No, RThevenin cannot be negative. Thevenin resistance is a measure of the equivalent resistance of a circuit, and resistance is always a positive value. If the calculated value of RThevenin is negative, it is likely an indication of an error in the calculation.

Why is it important to find the Thevenin equivalent circuit?

The Thevenin equivalent circuit is useful for simplifying complex circuits and can be used to analyze the behavior of a circuit without having to consider the details of individual components. It is also helpful in determining the maximum power that can be delivered to a load. Additionally, the Thevenin equivalent circuit can be used to find the voltage and current at any point in the circuit, making it a valuable tool in circuit analysis and design.

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