4. Consider the RL circuit with input v, (t) and output v₂(t) as shown in the figure below. Sketch the following function, where L=1H and R=1 Ohm: i(1) L 1 + V₁ (1) 12 R V₂ (1) (a) Find the differential equation of the circuit that characterizes the behavior between the input and the output. (Hint: Perform KVL in time domain) (b) Find the transfer function H(s) = V₂ (s)/V(s) of the system. (c) Find the impulse response v₂ (t) of the system. (Hint: Use inverse Laplace transform by partial fractions).
4. Consider the RL circuit with input v, (t) and output v₂(t) as shown in the figure below. Sketch the following function, where L=1H and R=1 Ohm: i(1) L 1 + V₁ (1) 12 R V₂ (1) (a) Find the differential equation of the circuit that characterizes the behavior between the input and the output. (Hint: Perform KVL in time domain) (b) Find the transfer function H(s) = V₂ (s)/V(s) of the system. (c) Find the impulse response v₂ (t) of the system. (Hint: Use inverse Laplace transform by partial fractions).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:4. Consider the RL circuit with input v₁ (t) and output v₂(t) as shown in the figure below. Sketch
the following function, where L=1H and R=1 Ohm:
i(1)
L
1
V₁ (1)
1-
R
V₂ (1)
(a) Find the differential equation of the circuit that characterizes the behavior between the
input and the output. (Hint: Perform KVL in time domain)
(b) Find the transfer function H(s) = V₂ (s)/V(s) of the system.
(c) Find the impulse response v₂ (t) of the system. (Hint: Use inverse Laplace transform by
partial fractions).
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