Problem No. 3 For the circuit shown in the figure below, the switch has been open for a long time. At time t=0 the switch closes. a) Determine the initial conditions for the inductance IL(0) =_ (0) = b) Determine the initial conditions for the capacitance V(0) =. c) Determine the differential equation associated with the circuit for time t>0. d) Determine the type of response associated with I(t) Under-damped Critically-damped Over-damped e) Write the complete expression for ,(t) L(t) =. f) Write the complete expression for Va(t) Va(t) = . (5/6) Ohms (25/6) Ohms Va L 40 1 mH Micro-F 25 V Switch closes @t=0

Problem No. 3 For the circuit shown in the figure below, the switch has been open for a long time. At time t=0 the switch closes. a) Determine the initial conditions for the inductance IL(0) =_ (0) = b) Determine the initial conditions for the capacitance V(0) =. c) Determine the differential equation associated with the circuit for time t>0. d) Determine the type of response associated with I(t) Under-damped Critically-damped Over-damped e) Write the complete expression for ,(t) L(t) =. f) Write the complete expression for Va(t) Va(t) = . (5/6) Ohms (25/6) Ohms Va L 40 1 mH Micro-F 25 V Switch closes @t=0

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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Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

Problem No. 3
For the circuit shown in the figure below, the switch has been open for a long time. At time t=0
the switch closes.
a) Determine the initial conditions for the inductance
IL(0) =_
(0) =
b) Determine the initial conditions for the capacitance
V(0) =.
c) Determine the differential equation associated with the circuit for time t>0.
d) Determine the type of response associated with I(t)
Under-damped
Critically-damped
Over-damped
e) Write the complete expression for ,(t)
L(t) =.
f) Write the complete expression for Va(t)
Va(t) = .
(5/6) Ohms
(25/6) Ohms
Va
L
40
1 mH
Micro-F
25 V
Switch
closes @t=0

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