c. If R=15.8 22, is the system underdamped, critically damped, or overdamped? What is the equation that describes v(t)? d. Determine the final equation for v using the initial conditions (0)=5V and i(0)=0. (Hint: use KCL and i(0)=0 to find at t=0). dv dt e. Plot v(1) until the transient dies out. R 1H 1 mF
c. If R=15.8 22, is the system underdamped, critically damped, or overdamped? What is the equation that describes v(t)? d. Determine the final equation for v using the initial conditions (0)=5V and i(0)=0. (Hint: use KCL and i(0)=0 to find at t=0). dv dt e. Plot v(1) until the transient dies out. R 1H 1 mF
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
Can you do c- e plz
![We wish to find v(1) for 1>0 in the RLC circuit shown below where the elements are in series.
a. Derive the governing equation for the voltage v using KCL at the top node using the
following definitions: a = w =
==
You should obtain (see attached for a similar
2RC
derivation from the book)
d²v 1 dv
+
dt2 RC dt LC
This will get you a governing equation in the same form as that derived for the case we did in
class where the R, L, and C were in series.
e. Plot v(t) until the transient dies out.
Circuit
v = 0
b. What is the particular solution in this case, i.e., what is the value of v after a very long time
after the voltage and current have reached steady state?
of
c. If R=15.8 Q2, is the system underdamped, critically damped, or overdamped? What is the
equation that describes v(t)?
resistances
or
d. Determine the final equation for v using the initial conditions v(0)=5V and i(0)=0. (Hint:
use KCL and i(0)=0 to find at t=0).
dt
and
1H
sources
LC
(a)
d²v
dt2
1 mF
dv
+ 2α t
dt
V
ELE
+w/v = 0
RM
2(1)
(b)
Section 4.5 Second-Order Circuits
i(1)
FC
193](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3827a2f7-6b05-43a2-b250-34175cac09a8%2Feedf463e-d867-45db-bc75-2052e2e55883%2Fzid83zm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We wish to find v(1) for 1>0 in the RLC circuit shown below where the elements are in series.
a. Derive the governing equation for the voltage v using KCL at the top node using the
following definitions: a = w =
==
You should obtain (see attached for a similar
2RC
derivation from the book)
d²v 1 dv
+
dt2 RC dt LC
This will get you a governing equation in the same form as that derived for the case we did in
class where the R, L, and C were in series.
e. Plot v(t) until the transient dies out.
Circuit
v = 0
b. What is the particular solution in this case, i.e., what is the value of v after a very long time
after the voltage and current have reached steady state?
of
c. If R=15.8 Q2, is the system underdamped, critically damped, or overdamped? What is the
equation that describes v(t)?
resistances
or
d. Determine the final equation for v using the initial conditions v(0)=5V and i(0)=0. (Hint:
use KCL and i(0)=0 to find at t=0).
dt
and
1H
sources
LC
(a)
d²v
dt2
1 mF
dv
+ 2α t
dt
V
ELE
+w/v = 0
RM
2(1)
(b)
Section 4.5 Second-Order Circuits
i(1)
FC
193
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