3. Let's explore the role of the resistance R in an LCR circuit by setting R 0 in (1.6.1) and then comparing the result with the solution found in Fig. 1.21. The particular solution (1.6.2) remains unchanged. Determine the homogeneous solution and satisfy the initial conditions (1.6.3). Plot the result and compare it with Fig. 1.21. Answer: The results show a persistent oscillation around the mean value QCV. There is no decay in the oscillation as shown in Fig. 1.21.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question
3. Let's explore the role of the resistance R in an LCR circuit by setting
R 0 in (1.6.1) and then comparing the result with the solution found in
Fig. 1.21. The particular solution (1.6.2) remains unchanged. Determine
the homogeneous solution and satisfy the initial conditions (1.6.3). Plot
the result and compare it with Fig. 1.21.
Answer: The results show a persistent oscillation around the mean value
QCV. There is no decay in the oscillation as shown in Fig. 1.21.
Transcribed Image Text:3. Let's explore the role of the resistance R in an LCR circuit by setting R 0 in (1.6.1) and then comparing the result with the solution found in Fig. 1.21. The particular solution (1.6.2) remains unchanged. Determine the homogeneous solution and satisfy the initial conditions (1.6.3). Plot the result and compare it with Fig. 1.21. Answer: The results show a persistent oscillation around the mean value QCV. There is no decay in the oscillation as shown in Fig. 1.21.
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