Please help with parts c and d of this RLC bandpass filter. I tried to graph it using Matlab but I'm not quite certain my transfer function is correct.

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Please help with parts c and d of this RLC bandpass filter. I tried to graph it using Matlab but I'm not quite certain my transfer function is correct.

2. Design a series RLC bandpass filter as shown in Figure 1 with center frequency 1000HZ and
bandwidth 300OHZ using a 10µF capacitor. For this filter:
a. Determine L, and Rs.
b. Compute the quality factor
V„(s)
c. Plot the amplitude and phase of the transfer function H,(s) =
V¼(s)
OS
1,(s)
and compute its poles
V¼(s)
d. Derive the transfer function H
cur, (8) =
Transcribed Image Text:2. Design a series RLC bandpass filter as shown in Figure 1 with center frequency 1000HZ and bandwidth 300OHZ using a 10µF capacitor. For this filter: a. Determine L, and Rs. b. Compute the quality factor V„(s) c. Plot the amplitude and phase of the transfer function H,(s) = V¼(s) OS 1,(s) and compute its poles V¼(s) d. Derive the transfer function H cur, (8) =
L,
S
i,(t)
+
Vis(t)
R,
Vos(t)
Figure 1: Series RLC bandpass filter for problem 2.
+
Transcribed Image Text:L, S i,(t) + Vis(t) R, Vos(t) Figure 1: Series RLC bandpass filter for problem 2. +
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