Problem 1 Consider the following circuit v(1) 3v L35 0000 Note: The steady state means that di dt = 0 and iz(t) dve dt iR(1) Node 1 R 252 a) Write the differential equation relating i, and ve. Where ve is the voltage across the capacitor C. b) Let v(t)= 3volts, R= 20, L= 0.5H, and C= 0.25F. Find the steady state values of ve and i ic(1) C 0.25 = 0 (all rates of change are zero)

Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
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Problem 1
Consider the following circuit
v(1)
3V
L 0.5
0000
Note: The steady state means that
dt
0000
= 0 and
Problem 2
Consider the following mechanical system
M₁
Systems
dve
dt
iz(t)
www
ir(t)
a) Write the differential equation relating it and ve. Where ve is the voltage across the capacitor
C.
b) Let v(t) = 3volts, R= 20, L= 0.5H, and C= 0.25F. Find the steady state values of ve and i
M₂
Node 1
R
252
= 0 (all rates of change are zero)
xy(1)
K₂
0000
ic(1)
Jv₂-
My
3₂(1)
R(1)
C 0.25
==
se
Jv,
Let K₁ 1, K₂ = 0.5, fv, = 0.01, f, 0.01. f, = 0.04. f, 0.04, M₁ = 10, M₂ = 10, M₁ = 20, f = 2
S
Z
=
Find the steady state values of x₁, x₂ and x3 (for steady state, make all derivatives and double derivatives
equal to zero)
Transcribed Image Text:Problem 1 Consider the following circuit v(1) 3V L 0.5 0000 Note: The steady state means that dt 0000 = 0 and Problem 2 Consider the following mechanical system M₁ Systems dve dt iz(t) www ir(t) a) Write the differential equation relating it and ve. Where ve is the voltage across the capacitor C. b) Let v(t) = 3volts, R= 20, L= 0.5H, and C= 0.25F. Find the steady state values of ve and i M₂ Node 1 R 252 = 0 (all rates of change are zero) xy(1) K₂ 0000 ic(1) Jv₂- My 3₂(1) R(1) C 0.25 == se Jv, Let K₁ 1, K₂ = 0.5, fv, = 0.01, f, 0.01. f, = 0.04. f, 0.04, M₁ = 10, M₂ = 10, M₁ = 20, f = 2 S Z = Find the steady state values of x₁, x₂ and x3 (for steady state, make all derivatives and double derivatives equal to zero)
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