# Find the Norton equivalent resistance

• messier992
In summary, Norton equivalent resistance is a concept in electrical engineering that simplifies a complex circuit by representing its equivalent resistance at a single point. To find the Norton equivalent resistance, all current sources are short-circuited and all voltage sources are open-circuited, and the equivalent resistance is calculated at the terminals. The main difference between Norton and Thevenin equivalent resistance is the use of a current source and voltage source, respectively, to represent the circuit. Norton equivalent resistance is useful for analyzing and simplifying complex circuits, and it can be used for both DC and AC circuits. However, the value for AC circuits may differ from the DC value due to the presence of reactance.
messier992

## Homework Statement

Find the Norton equivalent resistance

## Homework Equations

Sum of resistance in a parallel circuit: 1/Rt = 1/R1 + 1/R2...
Sum of resistance a series circuit: Rt= R1+R2...

## The Attempt at a Solution

Don't know where to go from here:

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Actually, I believe this might be the solution. Is this correct?

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Well I see you got a start and eliminated the Voltage and Current sources. However I can't tell if those sources were replaced by Shorts or Opens. Can you clarify with a better schematic?

## 1. What is the Norton equivalent resistance?

The Norton equivalent resistance is a simplified representation of a complex circuit that is composed of a single resistor connected in parallel with a current source. It is used to analyze and solve circuits in a more efficient manner.

## 2. How do you find the Norton equivalent resistance?

To find the Norton equivalent resistance, you need to first find the open-circuit voltage and the short-circuit current of the original circuit. Then, the Norton equivalent resistance can be calculated by dividing the open-circuit voltage by the short-circuit current.

## 3. Why is it important to find the Norton equivalent resistance?

Finding the Norton equivalent resistance allows for easier analysis and calculation of complex circuits. It also helps in determining the maximum power that can be transferred from a circuit to a load.

## 4. Can the Norton equivalent resistance be used for any circuit?

No, the Norton equivalent resistance can only be used for circuits that can be simplified into a single resistor and a current source in parallel. It cannot be used for circuits that have other components such as capacitors or inductors.

## 5. What are the advantages of using the Norton equivalent resistance?

The main advantage of using the Norton equivalent resistance is that it simplifies circuit analysis and calculations. It also helps in determining the maximum power transfer and can be used to find the Thevenin equivalent resistance, which is useful in circuit design and troubleshooting.

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