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Ve 2. 3. R L (0) Figure 3.1 - RLC Circuit Part I - RLC Circuit: 1. Write the differential equation of the RLC circuit in Figure 3-1. 2. Deduce the transfer function in s, Ts = Vs / Ve. 3. By choosing a step input Ve = 1 Volt, provide the analytical solution Vs(t) in terms of R, L, and C." Part II -Discharge of a capacitor in an RLC circuit: 1. Assuming Ve=0 and that the capacitor is initially charged to Vs (0) = 1 Volt, write the differential equation for the RLC circuit in Figure 3-1. Deduce the Laplace transform of Vs. Provide the analytical solution Vs(t) in terms of R, L, and C when the capacitor discharges into the RL circuit.

Ve 2. 3. R L (0) Figure 3.1 - RLC Circuit Part I - RLC Circuit: 1. Write the differential equation of the RLC circuit in Figure 3-1. 2. Deduce the transfer function in s, Ts = Vs / Ve. 3. By choosing a step input Ve = 1 Volt, provide the analytical solution Vs(t) in terms of R, L, and C." Part II -Discharge of a capacitor in an RLC circuit: 1. Assuming Ve=0 and that the capacitor is initially charged to Vs (0) = 1 Volt, write the differential equation for the RLC circuit in Figure 3-1. Deduce the Laplace transform of Vs. Provide the analytical solution Vs(t) in terms of R, L, and C when the capacitor discharges into the RL circuit.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Ve R L -000 Figure 3.1 - RLC Circuit Vs Part I - RLC Circuit: 1. Write the differential equation of the RLC circuit in Figure 3-1. 2. Deduce the transfer function in s, Ts = Vs / Ve. 3. By choosing a step input Ve = 1 Volt, provide the analytical solution Vs(t) in terms of R, L, and C." Part II - Discharge of a capacitor in an RLC circuit: 1. Assuming Ve=0 and that the capacitor is initially charged to Vs (0) = 1 Volt, write the differential equation for the RLC circuit in Figure 3-1. 2. Deduce the Laplace transform of Vs. 3. Provide the analytical solution Vs(t) in terms of R, L, and C when the capacitor discharges into the RL circuit.
Transcribed Image Text:Ve R L -000 Figure 3.1 - RLC Circuit Vs Part I - RLC Circuit: 1. Write the differential equation of the RLC circuit in Figure 3-1. 2. Deduce the transfer function in s, Ts = Vs / Ve. 3. By choosing a step input Ve = 1 Volt, provide the analytical solution Vs(t) in terms of R, L, and C." Part II - Discharge of a capacitor in an RLC circuit: 1. Assuming Ve=0 and that the capacitor is initially charged to Vs (0) = 1 Volt, write the differential equation for the RLC circuit in Figure 3-1. 2. Deduce the Laplace transform of Vs. 3. Provide the analytical solution Vs(t) in terms of R, L, and C when the capacitor discharges into the RL circuit.
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