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Some problems that arise in applications. 2. Suppose we apply the following voltages to the LCR circuit: (a) E(t) = Vo(1 − e−rt). (b) rt for 0 1. In both cases the voltage is ramped up until it reaches Vo. Make the choice L 1 H, C = 4 F, and R = 0.2 and compare the results to Fig. 1.21 by plotting Q(t)/(CV) when r = 2 per sec. Is there any significant difference? Which case is easier to solve?

Some problems that arise in applications. 2. Suppose we apply the following voltages to the LCR circuit: (a) E(t) = Vo(1 − e−rt). (b) rt for 0 1. In both cases the voltage is ramped up until it reaches Vo. Make the choice L 1 H, C = 4 F, and R = 0.2 and compare the results to Fig. 1.21 by plotting Q(t)/(CV) when r = 2 per sec. Is there any significant difference? Which case is easier to solve?

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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Some problems that arise in applications. 2. Suppose we apply the following voltages to the LCR circuit: (a) E(t) = Vo(1 − e−rt). (b) rt for 0<rt < 1, E(t) = Vo 1 for rt > 1. In both cases the voltage is ramped up until it reaches Vo. Make the choice L 1 H, C = 4 F, and R = 0.2 and compare the results to Fig. 1.21 by plotting Q(t)/(CV) when r = 2 per sec. Is there any significant difference? Which case is easier to solve?
Transcribed Image Text:Some problems that arise in applications. 2. Suppose we apply the following voltages to the LCR circuit: (a) E(t) = Vo(1 − e−rt). (b) rt for 0<rt < 1, E(t) = Vo 1 for rt > 1. In both cases the voltage is ramped up until it reaches Vo. Make the choice L 1 H, C = 4 F, and R = 0.2 and compare the results to Fig. 1.21 by plotting Q(t)/(CV) when r = 2 per sec. Is there any significant difference? Which case is easier to solve?
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