23 The shown RLC circuit with a - resistor, a 50 driven by the voltage E(t) = 0.07t² V. R www d² I dt² 1, 2 = 1 100 C = Hinductor, and a D² I and ord dI dt 25 = -F capacitor is i. Using differential operator notation, differential equation associated with this circuit in terms of current I, differential operator D, and time t. 22 DI, write the Find the roots of the auxiliary polynomial of the corresponding homogeneous equation of I. Enter the roots as a list separated by commas.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The shown RLC circuit with a
driven by the voltage E(t)
E
=
r1, r₂ =
23
- resistor, a
50
0.07t² V.
1
100
R
www
C
H inductor, and a
=
d²I
i. Using differential operator notation,
dt²
differential equation associated with this circuit in terms of current I, differential
operator D, and time t.
D²I and
dI
dt
25
22
=
F capacitor is
DI, write the
Find the roots of the auxiliary polynomial of the corresponding homogeneous
equation of I.
Enter the roots as a list separated by commas.
Transcribed Image Text:The shown RLC circuit with a driven by the voltage E(t) E = r1, r₂ = 23 - resistor, a 50 0.07t² V. 1 100 R www C H inductor, and a = d²I i. Using differential operator notation, dt² differential equation associated with this circuit in terms of current I, differential operator D, and time t. D²I and dI dt 25 22 = F capacitor is DI, write the Find the roots of the auxiliary polynomial of the corresponding homogeneous equation of I. Enter the roots as a list separated by commas.
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