(a) A system consists of two components that can be presented by the respective h₁ (t) = 3000e-2⁰tu(t) and h₂(t) = te-1⁰tu(t) as illustrated in Figure Q.1(a). The input voltage for the system is: Vin (t) Vin (t) = cos(t) + 2 cos(10t) + 10 cos(1000t) V h(t) h₁(t) Figure Q.1(a) h₂ (t) Vout(t) (i) Determine the system transfer function, H(s) (ii) Sketch the magnitude bode plot for the system transfer function in (i), H(s) (iii) Determine the magnitude of the output voltages, Vout (t) at w = 1rad/s and w = 10rad/s

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter23: Resistive-inductive-capacitive Series Circuits
Section: Chapter Questions
Problem 3PP: The circuit is connected to a 60-Hz line. The apparent power in the circuit is 29.985 VA, and the...
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(a) A system consists of two components that can be presented by the respective h₁ (t) =
3000e-2⁰tu(t) and h₂(t) = te-1⁰tu(t) as illustrated in Figure Q.1(a). The input
voltage for the system is:
Vin (t)
Vin (t) = cos(t) + 2 cos(10t) + 10 cos (1000t) V
h(t)
h₁ (t)
Figure Q.1(a)
h₂ (t)
→ Vout (t)
(i) Determine the system transfer function, H(s)
(ii) Sketch the magnitude bode plot for the system transfer function in (i), H(s)
(iii) Determine the magnitude of the output voltages, Vout (t) at w = 1rad/s and
w = 10rad/s
Transcribed Image Text:(a) A system consists of two components that can be presented by the respective h₁ (t) = 3000e-2⁰tu(t) and h₂(t) = te-1⁰tu(t) as illustrated in Figure Q.1(a). The input voltage for the system is: Vin (t) Vin (t) = cos(t) + 2 cos(10t) + 10 cos (1000t) V h(t) h₁ (t) Figure Q.1(a) h₂ (t) → Vout (t) (i) Determine the system transfer function, H(s) (ii) Sketch the magnitude bode plot for the system transfer function in (i), H(s) (iii) Determine the magnitude of the output voltages, Vout (t) at w = 1rad/s and w = 10rad/s
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