Problem 3 in(t) mm + vi(t) (a) Find the driving-point impedance, Z(s) = V₁(s)/I₁(s) Problem 3 (continued) HH 1₁ (1) m ww (b) Find the transfer function, H(s) = V₂(s)/V₁(s). v₂ (t) V₂ (t) (c) Let L = 1 H. Choose R and C such that the circuit's undamped natural frequency is 100 rad/sec and its half-power bandwidth is 20 rad/sec. (d) Make labelled sketches of H (jw) and of ZH(jw) versus frequency on a linear scale over the range 0 ≤w≤ 200 rad s-¹.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Problem 3
i₁(t) mm
+
Problem 3 (continued)
v₁ (t)
(a) Find the driving-point impedance, Z(s) = V₁(s)/11(s)
is (t) mm
+
v₁ (t)
C
C
R
(b) Find the transfer function, H(s) = V₂(s)/V₁(s).
www
+
v₂ (t)
v₂ (t)
(c) Let L = 1 H. Choose R and C such that the circuit's undamped natural frequency is 100 rad/ see and its half-power
bandwidth is 20 rad/sec.
(d) Make labelled sketches of H(jw) and of ZH(jw) versus frequency on a linear scale over the range 0 ≤ w s
200 rad s ¹.
Transcribed Image Text:Problem 3 i₁(t) mm + Problem 3 (continued) v₁ (t) (a) Find the driving-point impedance, Z(s) = V₁(s)/11(s) is (t) mm + v₁ (t) C C R (b) Find the transfer function, H(s) = V₂(s)/V₁(s). www + v₂ (t) v₂ (t) (c) Let L = 1 H. Choose R and C such that the circuit's undamped natural frequency is 100 rad/ see and its half-power bandwidth is 20 rad/sec. (d) Make labelled sketches of H(jw) and of ZH(jw) versus frequency on a linear scale over the range 0 ≤ w s 200 rad s ¹.
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