In source transformation, resistances remain the same.

Source transformation is a technique used in circuit analysis to simplify circuits by converting voltage sources to current sources or vice versa. This technique is based on the principle that voltage sources and current sources are mathematically equivalent, as long as the resistance connected to the source remains the same.

Explanation:

When performing source transformation, we interchange a voltage source and a resistor with a current source and a resistor, or vice versa. The goal is to simplify the circuit and make it easier to analyze.

Example:

Let's consider an example to illustrate this concept. Suppose we have a circuit with a voltage source V1 and a resistor R1 connected in series. We can perform source transformation on this circuit by converting the voltage source V1 into a current source I1 in parallel with the resistor R1.

Before Source Transformation:
```
_____
| |
V1 R1
|_____|
```

After Source Transformation:
```
_____
| |
I1 R1
|_____|
```

In this example, we can see that the resistance R1 remains the same before and after the source transformation. The actual value of the resistance does not change during the process.

Importance of Resistance:

The reason why resistances remain the same during source transformation is because resistors are passive elements that only dissipate or consume power. They do not generate power like voltage sources or current sources. Therefore, the resistance connected to the source is independent of the type of source being used.

Conclusion:

In source transformation, the resistances connected to the sources remain the same. This is because resistors are passive elements that do not change their behavior based on the type of source being used. The technique of source transformation is a powerful tool in simplifying circuits and making them easier to analyze.