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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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