### Question 1 of 2The 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 1bAssume (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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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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