In this article, we will learn and understand the **linearity property** with the help of examples.

## Linearity Property

The property of an electrical circuit element that describes a linear relationship between excitation and response is known as **linearity property**. The linearity property is a combination of the following two properties:

- Homogeneity (Scaling) Property
- Superposition (Additivity) Property

Let’s discuss about each of these two properties in detail.

**Homogeneity Property**

It is also known as the **scaling property**. According to the **homogeneity property**, if the input or excitation is multiplied by a constant (i.e., scaled by a constant factor), then the output or response also gets multiplied (or scaled) by the same constant or factor.

For example, if for excitation *E(t),* we get a response *R(t)*. Then, according to homogeneity,

For excitation *uE(t)*, we will get the response *uR(t)*. Where, *u* is the scaling constant or factor.

**Superposition Property**

It is also known as the **additivity property**. According to **superposition property**, the output or response to a sum of inputs or excitations is equal to the sum of responses or outputs to each input applied separately.

For example,

If excitation E_{1}(t) produces a response R_{1}(t) and the excitation E_{2}(t) produces a response R_{2}(t). Then, according to the superposition property,

The excitation E_{1}(t) + E_{2}(t) produces a response R_{1}(t) + R_{2}(t).

## Conclusion

So, this is all about linearity property. If you have any questions related to this topic, kindly post in the comment section. I will answer shortly.