492 and 1=0 Q1 of 2) The switch has been closed for a long time. It opens at t=0. i) Find i, (0+) and vc (0*) (Hint: Do Analysis before t=0) Answers. Box 0.02 F 10 V 692 ii) For t > 0, what kind of system response does the series RLC circuit produce for i, (t)? (Underdamped, overdamped, critically damped). Hint: Draw circuit after t>0, find a, w Represent form of i(t) based on system response. Box Answers iii) Find diL(0+) dt dvc(0+) dt Box Answers 492 0.5 H
492 and 1=0 Q1 of 2) The switch has been closed for a long time. It opens at t=0. i) Find i, (0+) and vc (0*) (Hint: Do Analysis before t=0) Answers. Box 0.02 F 10 V 692 ii) For t > 0, what kind of system response does the series RLC circuit produce for i, (t)? (Underdamped, overdamped, critically damped). Hint: Draw circuit after t>0, find a, w Represent form of i(t) based on system response. Box Answers iii) Find diL(0+) dt dvc(0+) dt Box Answers 492 0.5 H
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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![### Question 1 of 2
The switch has been closed for a long time. It opens at t=0.
#### i) Find \( i_L(0^+) \) and \( v_c(0^+) \) (Hint: Do Analysis before t=0)
**Box Answers:**
\[ i_L(0^+) = \]
\[ v_c(0^+) = \]
#### ii) For \( t > 0 \), what kind of system response does the series RLC circuit produce for \( i_L(t) \)? (Underdamped, overdamped, critically damped).
Hint: Draw circuit after \( t > 0 \), find \(\alpha\), \(\omega\). Represent form of \( i_L(t) \) based on system response.
**Box Answers:**
#### iii) Find \(\frac{di_L(0^+)}{dt}\) and \(\frac{dv_c(0^+)}{dt}\)
**Box Answers:**
\[ \frac{di_L(0^+)}{dt} = \]
\[ \frac{dv_c(0^+)}{dt} = \]
### Question 1b
Assume (Given parameters for a new circuit to avoid carrying mistakes from previous analysis) you are told that a series RLC circuit is given and has an overdamped system response, with \( s_1 = -1 \), \( s_2 = -2 \), \( v_c(0^+)=1V \), \(\frac{dv_c(0^+)}{dt} = 2 \). Find \( v_c(t) \) for t > 0.
Hint: Solve for \( A_1 \), \( A_2 \) and represent \( v_c(t) \) correctly.
**Box Answer:**
---
### Diagram Explanation:
The schematic diagram provided shows a series RLC circuit consisting of:
- A 10V DC voltage source
- A switch that has been closed for a long time and opens at \( t = 0 \)
- A resistor (\(4\Omega\)) in series with an inductor (\(0.5H\)), another resistor (\(6\Omega\)), and a capacitor (\(0.02F\))
##### Key Circuit Elements:
- Resistor: \( 4\Omega \)
- Resistor: \( 6\Omega \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feff5a5e2-b243-453e-8506-ee83e62a3be5%2F5fefc5c4-b70c-4364-936a-3538067a774b%2F5rvplfw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 1 of 2
The switch has been closed for a long time. It opens at t=0.
#### i) Find \( i_L(0^+) \) and \( v_c(0^+) \) (Hint: Do Analysis before t=0)
**Box Answers:**
\[ i_L(0^+) = \]
\[ v_c(0^+) = \]
#### ii) For \( t > 0 \), what kind of system response does the series RLC circuit produce for \( i_L(t) \)? (Underdamped, overdamped, critically damped).
Hint: Draw circuit after \( t > 0 \), find \(\alpha\), \(\omega\). Represent form of \( i_L(t) \) based on system response.
**Box Answers:**
#### iii) Find \(\frac{di_L(0^+)}{dt}\) and \(\frac{dv_c(0^+)}{dt}\)
**Box Answers:**
\[ \frac{di_L(0^+)}{dt} = \]
\[ \frac{dv_c(0^+)}{dt} = \]
### Question 1b
Assume (Given parameters for a new circuit to avoid carrying mistakes from previous analysis) you are told that a series RLC circuit is given and has an overdamped system response, with \( s_1 = -1 \), \( s_2 = -2 \), \( v_c(0^+)=1V \), \(\frac{dv_c(0^+)}{dt} = 2 \). Find \( v_c(t) \) for t > 0.
Hint: Solve for \( A_1 \), \( A_2 \) and represent \( v_c(t) \) correctly.
**Box Answer:**
---
### Diagram Explanation:
The schematic diagram provided shows a series RLC circuit consisting of:
- A 10V DC voltage source
- A switch that has been closed for a long time and opens at \( t = 0 \)
- A resistor (\(4\Omega\)) in series with an inductor (\(0.5H\)), another resistor (\(6\Omega\)), and a capacitor (\(0.02F\))
##### Key Circuit Elements:
- Resistor: \( 4\Omega \)
- Resistor: \( 6\Omega \
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