35.3.4. Relationship Between Transfer Function and Frequency Response

Try these first

1. 1.

   What is a transfer function?

   Hint

   Think about input/output relationships in circuits.

2. 2.

   Define cutoff frequency.

   Hint

   Consider where performance changes in a filter.

3. 3.

   What is the primary purpose of a transfer function?

   • To establish input/output relationships
   • To identify circuit resistance
   • To evaluate power

   Hint

   Think about what we mean by saying 'transfer' in circuits.

4. 4.

   True or False: The cutoff frequency is where the output gain begins to stabilize.

   • True
   • False

   Hint

   Focus on how output behavior changes around this frequency.

5. 5.

   Given an RC circuit with R = 1kΩ and C = 100nF, calculate the cutoff frequency.

   Hint

   Use the cutoff frequency formula and plug in the values.

6. 6.

   Analyze the stability of a system represented by the transfer function H(s) = 10 / (s² + 5s + 6). Discuss the implications of the pole locations.

   Hint

   Consider the sign of the pole locations in relation to stability.