35.3.5. Pole-Zero Locations in Bode and Laplace Domain Transfer Function

Try these first

1. 1.

   What is a transfer function?

   Hint

   Look for its role in circuit analysis.

2. 2.

   Define a pole in the context of transfer functions.

   Hint

   Think about where the output could potentially become very large.

3. 3.

   What happens at the pole of a transfer function?

   • Gain is zero
   • Gain is infinite
   • Gain is constant

   Hint

   Consider the definition of poles.

4. 4.

   Is the following statement true? 'Zeros of a transfer function can block specific frequencies.'

   • True
   • False

   Hint

   Think about how zeros interact with frequencies.

5. 5.

   Given a transfer function H(s) = 100 / (s^2 + 4s + 20), find the poles and discuss their implications for frequency response.

   Hint

   Remember, poles can be complex and affect magnitudes.

6. 6.

   Analyze how the introduction of an additional pole at s = -3 would impact the original transfer function H(s) = 10 / (s + 2). What changes occur in the Bode plot?

   Hint

   Think about how each additional pole typically affects gain.