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For the circuit in Figure 1, switch 1 has been closed for a long time and switch 2 has been open for a long time. At t = 0, switch 2 is closed. At t = 1s, both switches are simultaneously opened and stay open indefinitely. a) Determine i(t) for t b) Determine i(t) for 0 ≤ t ≤ 1s c) Determine i(t) for t ≥ 1s t=Is 8A = 0- 252 www 2H i(t)> 352 M t=0 t=1s 2 352 Imm 952 M 352 10V

For the circuit in Figure 1, switch 1 has been closed for a long time and switch 2 has been open for a long time. At t = 0, switch 2 is closed. At t = 1s, both switches are simultaneously opened and stay open indefinitely. a) Determine i(t) for t b) Determine i(t) for 0 ≤ t ≤ 1s c) Determine i(t) for t ≥ 1s t=Is 8A = 0- 252 www 2H i(t)> 352 M t=0 t=1s 2 352 Imm 952 M 352 10V

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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### Circuit Analysis Problem **Description** For the circuit in Figure 1, switch 1 has been closed for a long time and switch 2 has been open for a long time. At \( t = 0 \), switch 2 is closed. At \( t = 1 \text{s} \), both switches are simultaneously opened and stay open indefinitely. **Tasks** a) Determine \( i(t) \) for \( t = 0^- \) b) Determine \( i(t) \) for \( 0 \leq t \leq 1 \text{s} \) c) Determine \( i(t) \) for \( t \geq 1 \text{s} \) **Circuit Diagram Explanation** - The circuit consists of: - A 2Ω resistor connected in series with an 8A current source. - A 2H inductor labeled with \( i(t) \). - A 3Ω resistor in series with the inductor. - Two 3Ω resistors in parallel, connected to another 9Ω resistor. - A 10V voltage source connected to the resistors. - Switch 1 has been positioned to alter the circuit at \( t = 1 \text{s} \). - Switch 2 closes at \( t = 0 \), connecting the inductor and resistors to the voltage source and current flow path. - States at key times: - **Red arrow at \( t = 0 \)** indicates when switch 2 is closed. - **Green arrow at \( t = 1 \text{s} \)** indicates when both switches open. Consider these actions to determine \( i(t) \) at specified times across the circuit. The analysis involves exploring the transient and steady-state behaviors, particularly focusing on the inductor's response over time.
Transcribed Image Text:### Circuit Analysis Problem **Description** For the circuit in Figure 1, switch 1 has been closed for a long time and switch 2 has been open for a long time. At \( t = 0 \), switch 2 is closed. At \( t = 1 \text{s} \), both switches are simultaneously opened and stay open indefinitely. **Tasks** a) Determine \( i(t) \) for \( t = 0^- \) b) Determine \( i(t) \) for \( 0 \leq t \leq 1 \text{s} \) c) Determine \( i(t) \) for \( t \geq 1 \text{s} \) **Circuit Diagram Explanation** - The circuit consists of: - A 2Ω resistor connected in series with an 8A current source. - A 2H inductor labeled with \( i(t) \). - A 3Ω resistor in series with the inductor. - Two 3Ω resistors in parallel, connected to another 9Ω resistor. - A 10V voltage source connected to the resistors. - Switch 1 has been positioned to alter the circuit at \( t = 1 \text{s} \). - Switch 2 closes at \( t = 0 \), connecting the inductor and resistors to the voltage source and current flow path. - States at key times: - **Red arrow at \( t = 0 \)** indicates when switch 2 is closed. - **Green arrow at \( t = 1 \text{s} \)** indicates when both switches open. Consider these actions to determine \( i(t) \) at specified times across the circuit. The analysis involves exploring the transient and steady-state behaviors, particularly focusing on the inductor's response over time.
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