Fig. 2 shows a series RLC cir
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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i need full soultion for B
![Fig. 2 shows a series RLC circuit.
R
V (t)
i (t).
oooo
L
Fig. 2: Series RLC Circuit
By applying Kirchhoff's voltage law, we obtain the second order differential equation:
C
d²i di i dv
L- +R- +
dt² dt C dt
where L is the inductance, R is the resistance and C is the capacitance. If L = 1 × 10-³ H, R =
200 2, and C = 1 x 10-6 F. Answer the following questions:
(2-b) Use Laplace Transform to solve the same non-homogeneous differential equation from
part (2-b). Assume zero initial conditions, and compare your results here with the
particular solution obtained in (2-b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa083965a-e8d8-451f-becf-70f63d4aae3f%2Fefe71da9-a4ca-4130-9d82-8ff8670334da%2Fuzpu2lm_processed.png&w=3840&q=75)
Transcribed Image Text:Fig. 2 shows a series RLC circuit.
R
V (t)
i (t).
oooo
L
Fig. 2: Series RLC Circuit
By applying Kirchhoff's voltage law, we obtain the second order differential equation:
C
d²i di i dv
L- +R- +
dt² dt C dt
where L is the inductance, R is the resistance and C is the capacitance. If L = 1 × 10-³ H, R =
200 2, and C = 1 x 10-6 F. Answer the following questions:
(2-b) Use Laplace Transform to solve the same non-homogeneous differential equation from
part (2-b). Assume zero initial conditions, and compare your results here with the
particular solution obtained in (2-b).
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