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Example 3. Assume that there is no initial energy stored in the following circuit at t = 0, and that is(t) = 10 u(t). a) Find Vo(s) using Thevenin's theorem. b) Apply the initial- value and the final-value theorems to find vo(0) and vo(x) is(t) +2i, R1 50 2 H m R2 552 a b A

Example 3. Assume that there is no initial energy stored in the following circuit at t = 0, and that is(t) = 10 u(t). a) Find Vo(s) using Thevenin's theorem. b) Apply the initial- value and the final-value theorems to find vo(0) and vo(x) is(t) +2i, R1 50 2 H m R2 552 a b A

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Example 3.** Assume that there is no initial energy stored in the following circuit at \( t = 0 \), and that \( i_s(t) = 10 \, u(t) \). a) Find \( V_o(s) \) using Thevenin’s theorem. b) Apply the initial-value and the final-value theorems to find \( v_o(0) \) and \( v_o(\infty) \). **Circuit Diagram Overview:** - There is a current source \( i_s(t) \) providing \( 10 \, u(t) \) amperes. - The circuit contains two resistors, \( R_1 \) and \( R_2 \), both with a resistance of \( 5 \, \Omega \). - A dependent current source \( 2i_x \) is present, where \( i_x \) is the current through \( R_1 \). - An inductor with an inductance of \( 2 \, \text{H} \) is connected to the branch marked by nodes \( a \) and \( b \). - \( v_o(t) \) is the output voltage across \( R_2 \). This example involves calculating the Thevenin equivalent circuit and using the initial and final value theorems to determine specific transient and steady-state responses.
Transcribed Image Text:**Example 3.** Assume that there is no initial energy stored in the following circuit at \( t = 0 \), and that \( i_s(t) = 10 \, u(t) \). a) Find \( V_o(s) \) using Thevenin’s theorem. b) Apply the initial-value and the final-value theorems to find \( v_o(0) \) and \( v_o(\infty) \). **Circuit Diagram Overview:** - There is a current source \( i_s(t) \) providing \( 10 \, u(t) \) amperes. - The circuit contains two resistors, \( R_1 \) and \( R_2 \), both with a resistance of \( 5 \, \Omega \). - A dependent current source \( 2i_x \) is present, where \( i_x \) is the current through \( R_1 \). - An inductor with an inductance of \( 2 \, \text{H} \) is connected to the branch marked by nodes \( a \) and \( b \). - \( v_o(t) \) is the output voltage across \( R_2 \). This example involves calculating the Thevenin equivalent circuit and using the initial and final value theorems to determine specific transient and steady-state responses.
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