Read the following statements regarding state variable analysis

(i) A purely resistive network has no states at all.

(ii) A purely resistive network has more states than a reactive network.

(iii) Only a reactive network can have stated.

(iv) A network with energy storing elements has no states at all.

Which of the following statements are correct:

Question

Question

This question was previously asked in

UGC NET Paper 2: Electronic Science Dec 2018 Official Paper

Answer 1

The response of a network consists of two parts:

1) Zero input response

2) Zero state response

The response of a given input depends on the zero input response.
The zero input response in an RLC network is completely determined once the initial inductor currents and capacitor voltages are known.
The Initial capacitor voltages and inductor currents (initial conditions) are termed as the initial states of the system.
The capacitor voltage and the inductor currents at a specified time are known as the state variables of the network.
States can be considered as variables that carry sufficient information about the history of the system.
A purely resistive network has no states at all as it has no storage property.
Only a network with energy storage elements or reactive elements will have states as they store the information about the past states.