Question

It is a question basically related to Networy Theory (Important Subject for Electrical Engineering Students), but somewhat linked with Mathematics too..

Can anyone tell : With reference to Network Theory, the line having equation \(\color{blue}{y = mx+c}\) is Linear or Non-Linear and why??

Answer is simply \(\color{green}{\text{Non-Linear.}}\)

Answer 1

It doesn't fit to the definition of 'linear' in electrical engg. look up definition of linear system - y=mx+c violates both additive and homogeneity properties

Answer 2

Basically I am doing some problems of Network Theory..

I got a graph as shown below:

I want to find whether it is linear or non-linear, bilateral or unilateral, active or passive:

Answer 3

With reference to Network and Control system that are having input and output with system function like transfer function,

y = mx + c comes out to be non-linear..

as if no input(x) is applied, y must be 0.

But here : y = c if x = 0..

So there is initial condition here that initially the system is set to some constant c, then it will vary as input is applied..

For linearity, the straight line must pass through origin that means, if x = 0, then y must be necessarily 0..