first order system response

What is Mathematical modelling?

• The mathematical models are equations which describe the relationship between the input and output of a system.

• Represent in mathematical term but no relation between input and outpur.

• Both

• None

The roots of the transfer function do not have any effect on the stability of the system.

• True
• False

Roots on the imaginary axis makes the system :

• Stable
• Unstable
• Marginally stable
• Linear

Transfer function of a system is used to calculate which of the following ?

• The order of the system

• The time constant

• The output for any given input

• The steady state gain

• The time required for the output to reach 63.2% of its final value

• The time required for the output to reach 50% of its final value

• The time required for the output to reach its final value

• The time required for the output to decay to zero

The transfer function of a first-order system is:

• A constant

• A polynomial of order 1

• A polynomial of order 2 or higher

• A transcendental function

In a first-order system, increasing the time constant will result in:

• A faster response

• A slower response

• No change in the response

• An oscillatory response

In a first-order system, the relationship between the output and input is described by:

• A first-order differential equation

• A second-order differential equation

• An algebraic equation

• A partial differential equation

What is the role of a transfer function in system analysis?

• To determine the order of the system

• To calculate the time constant

• To predict the output for a given input

• To find the steady state gain

What is the significance of the time constant in a first-order system?

• It determines the order of the system

• It affects the steady state gain

• It influences the response time of the system

• It has no impact on the system behavior