i) Derive the transfer function G, (s) = V,(s)/V;(s). ii) Figure 4 shows the block diagram that corresponds to the circuit, where V2(s) is the voltage across the capacitor. Obtain the transfer function G2(s) = V2(s)/V,(s) using voltage divider rule. iii) From your answer in (i) and (ii), obtain G(s) = V2(s)/,(s). R R. v.(t) Figure 3 V,(s) V.(s) V2(s) G;(s) G2(s) Eigune

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the RLC circuit shown in Figure 3. Given R=4 2, L= 2 H, C= 0.25 F, and Ro=5 2.
(i)
Derive the transfer function G, (s) = V,(s)/V;(s).
(ii) Figure 4 shows the block diagram that corresponds to the circuit, where V2(s) is the
voltage across the capacitor. Obtain the transfer function G2(s) = V2(s)/V,(s) using
voltage divider rule.
(iii) From your answer in (i) and (ii), obtain G(s) = V2(s)/V;(s).
R
R.
v.(t)
C:
Figure 3
V;(s)
V.(s)
V2(s)
G (s)
G2(s)
Figure 4
Transcribed Image Text:Consider the RLC circuit shown in Figure 3. Given R=4 2, L= 2 H, C= 0.25 F, and Ro=5 2. (i) Derive the transfer function G, (s) = V,(s)/V;(s). (ii) Figure 4 shows the block diagram that corresponds to the circuit, where V2(s) is the voltage across the capacitor. Obtain the transfer function G2(s) = V2(s)/V,(s) using voltage divider rule. (iii) From your answer in (i) and (ii), obtain G(s) = V2(s)/V;(s). R R. v.(t) C: Figure 3 V;(s) V.(s) V2(s) G (s) G2(s) Figure 4
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