Transfer Function Concepts and Analysis

This lecture introduces the concepts of zeros and poles in transfer functions, explaining their definitions and significance. An example is provided to illustrate how to calculate a transfer function from a differential equation, followed by an analysis of zeros and poles. The lecture also covers the pole-zero diagram, which visually represents the locations of zeros and poles on the s-plane. Finally, the general form of transfer functions is discussed, and students are encouraged to try related exercises.

What are zeros of a transfer function?

• Values of s for which the transfer function is maximum

• Values of s for which the denominator becomes zero

• Values of s for which the numerator becomes zero

• Values of s for which the transfer function is undefined

In the given example, what is the zero of the transfer function?

• s = -3

• s = -4

• s = -2

• s = 0

How many poles does the transfer function in the example have?

• Three

• One

• Two

• None

What happens to the transfer function when the denominator is zero?

• It becomes zero

• It becomes undefined

• It becomes infinite

• It becomes negative

What does a circle represent in a pole-zero diagram?

• A maximum point

• An undefined point

• A zero

• A pole

What is the real part of s called in the s-plane?

• Imaginary axis

• Transfer axis

• j omega axis

• Sigma axis

How are poles represented in a pole-zero diagram?

• By a circle

• By a cross

• By a square

• By a triangle

What is the imaginary part of s called in the s-plane?

• Sigma axis

• j omega axis

• Real axis

• Transfer axis

In a general transfer function, what does 's - z1' represent?

• An undefined point

• A pole

• A zero

• A constant

In the general form of a transfer function, what does 's - p1' indicate?

• A constant

• A pole

• A zero

• An undefined point