# Equivalent Circuit: Rotating for Equality

• darksyesider
In summary, the two circuits are identical because they have the same connections between the same elements, specifically at nodes a and b. Combining all the resistors in both circuits will show that they are the same, but this is an unnecessary effort as the equivalence can be seen by simply analyzing the connections at each node. This is explained in posts 2 and 3.
darksyesider
In my textbook, the text says that the following two circuits are identical after rotating it…can someone explain why this is true?

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Obviously, it' true, just look at what's connected to each node.

The circuits are equivalent because they have the same connections between the same elements. In each diagram look at the circuit elements connected to node a, and in each diagram look at the circuit elements connected to node b. In both cases the same elements have the same connections so the circuits are the same regardless of how they are drawn.

Combine all the resistors and you'll see that they are the same

HomogenousCow said:
Combine all the resistors and you'll see that they are the same

Yes, that would work, but it is a completely unnecessary effort. Reread posts 2 and 3.

## 1. What is an equivalent circuit?

An equivalent circuit is a simplified representation of a complex electrical circuit that behaves in the same way. It reduces a complex circuit to a simpler one, making it easier to analyze and understand.

## 2. How is an equivalent circuit different from a regular circuit?

An equivalent circuit is a simplified version of a complex circuit, while a regular circuit contains all the components and connections as they exist in the physical circuit. An equivalent circuit is typically used for analysis and simulation purposes.

## 3. What is the purpose of using an equivalent circuit?

The purpose of using an equivalent circuit is to simplify the analysis and understanding of a complex circuit. It allows for easier calculation of parameters such as voltage, current, and power, and can also be used for simulation and design purposes.

## 4. How is an equivalent circuit created?

An equivalent circuit is created by replacing a complex circuit with a simplified circuit that behaves in the same way. This is done by reducing or combining components and connections, while maintaining the same overall behavior of the circuit.

## 5. Is an equivalent circuit always accurate?

No, an equivalent circuit is not always accurate. It is a simplified version of a complex circuit, so there may be some discrepancies in the calculations and behavior. However, it is still a useful tool for analysis and understanding of a circuit.

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