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(ch 4 #4 from Nise) Consider a single loop circuit consisting of a 5V de battery, a 1.8 ohm resistor, and a 0.79F capacitor. If the circuit is completed (think closing a switch) at t=0, find the capacitor voltage (in other words, find vc (t) as you did in DS1) in the network as a function of time. (1) Use KVL to find the equation of the circuit in terms of vc. (2) Take the Laplace transform of the equation. (3) Solve this equation for Vc (s) then take the inverse Laplace transform to get ve(t). Also find the time constant, rise time, and settling time for the capacitor voltage.

(ch 4 #4 from Nise) Consider a single loop circuit consisting of a 5V de battery, a 1.8 ohm resistor, and a 0.79F capacitor. If the circuit is completed (think closing a switch) at t=0, find the capacitor voltage (in other words, find vc (t) as you did in DS1) in the network as a function of time. (1) Use KVL to find the equation of the circuit in terms of vc. (2) Take the Laplace transform of the equation. (3) Solve this equation for Vc (s) then take the inverse Laplace transform to get ve(t). Also find the time constant, rise time, and settling time for the capacitor voltage.

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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2) (ch 4 #4 from Nise) Consider a single loop circuit consisting of a 5V de battery, a 1.8 ohm resistor, and a 0.79F capacitor. If the circuit is completed (think closing a switch) at t=0, find the capacitor voltage (in other words, find ve(t) as you did in DS1) in the network as a function of time. (1) Use KVL to find the equation of the circuit in terms of vc. (2) Take the Laplace transform of the equation. (3) Solve this equation for V (s) then take the inverse Laplace transform to get ve (t). Also find the time constant, rise time, and settling time for the capacitor voltage.
Transcribed Image Text:2) (ch 4 #4 from Nise) Consider a single loop circuit consisting of a 5V de battery, a 1.8 ohm resistor, and a 0.79F capacitor. If the circuit is completed (think closing a switch) at t=0, find the capacitor voltage (in other words, find ve(t) as you did in DS1) in the network as a function of time. (1) Use KVL to find the equation of the circuit in terms of vc. (2) Take the Laplace transform of the equation. (3) Solve this equation for V (s) then take the inverse Laplace transform to get ve (t). Also find the time constant, rise time, and settling time for the capacitor voltage.
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It is given that:

V=5 voltR=1.8 ohmC=0.79 F

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