Question

In the s-domain circuit analysis, the circuit natural response is contributed by
1. System function poles only
2. Forcing function poles only
3. Both system and forcing function poles
4. Both poles and zero of the system only

Answer 1

Correct Answer - Option 1 : System function poles only

Forced response:

• The response of a network with a source present in it is called forced response (F.R) and it gives a steady-state response.
• This response is independent of the nature of the passive element, but it depends entirely on the type of input.
• This part of the solution is found out by finding the particular integral part (P.I) of the differential equation

Natural response:

• The response of a network without a source in it is called a natural response (NR) and it gives the transient response
• This response depends on the nature of the passive element and it is independent of the type of input.
• This part of the response is found and by solving the complementary function in the differential equation.

 

Total Response (T.R) =	Natural Response (N.R)          +		Forced Response (F.R)
	↓		↓
	Zero input Response		Zero state Response
	↓		↓
	Transient Response		Steady-state Response
	↓		↓
	Complementary function (C.F)		Particular solution (P.S)

This clearly indicates,

The natural response clearly indicates System function poles,

The forced response indicates forcing function poles,

The total response of the System indicates system poles, forcing function poles, and zeros respectively.