Electric Circuit Analysis II (ECE3791)
Department of Electrical & Computer
Engineering
University of Namibia
Self Study 1: Frequency response - (1) Transfer
Function, (2) Decibels, (3) Bode Plots
February 22, 2023
1.Obtain the transfer function Vo (s)/Vi of the circuit in Figure 1.
Figure 1:
2. Find the transfer function H(ω) = Vo /Vi of the circuits shown in Figure 2.
Figure 2:
3. A ladder network has a voltage gain of
H(ω) =
10
(1 + jω)(10 + jω)
Sketch the Bode plots for the gain.
4. Construct the Bode plots for
G(s) =
s+1
s2 (s + 10)
1
5. Find a zero of the transfer function
H(s) =
10(s + 1)
(s + 2)(s + 3)
6. Using Figure 3, help other students better understand how to determine transfer functions.
Figure 3:
7. Calculate |H(ω)| if HdB equals
(a) 0.05 dB
(b) -6.2 dB
8. Obtain the transfer function H(ω) corresponding to the Bode plot in Figure 4.
Figure 4:
9. The Bode magnitude plot of H(ω) is shown in Figure 5. Find H(ω).
Figure 5:
2