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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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
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
Expert Solution
Step 1

Given that

The resistor, capacitor, inductor all three are in parallel connection so we have to apply the parallel combination resonant theory to get the values.

After that we have to check for the voltage equations all are shown in below steps.

steps

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