vi(t)u(t) + R L R C vo(t) See the dynamic RLC circuit shown above. It has a time dependent input of vi(t)u(t). Let R = 1 kN, C = 0.5 µF, L = 1 µH and t = 0; a constant voltage (Vs = 3.3volts) is turned on; and all other initial conditions are zero except the capacitor (Vc(0) = 0.5). Derive the total time domain response. Use superposition and follow these steps: Step 1: redraw the CCT in the s-domain with the initial conditions Step 2: set the initial condition to "off" and derive the zero state response input "on" Step 3: Set the input to "off" and derive the zero input response Uzir (t) set to "on" Step 4: Find the total output response by adding: vo(t) = Uzsr(t) + Uzir (t) Uzsr (t) with the initial with the initial condition

vi(t)u(t) + R L R C vo(t) See the dynamic RLC circuit shown above. It has a time dependent input of vi(t)u(t). Let R = 1 kN, C = 0.5 µF, L = 1 µH and t = 0; a constant voltage (Vs = 3.3volts) is turned on; and all other initial conditions are zero except the capacitor (Vc(0) = 0.5). Derive the total time domain response. Use superposition and follow these steps: Step 1: redraw the CCT in the s-domain with the initial conditions Step 2: set the initial condition to "off" and derive the zero state response input "on" Step 3: Set the input to "off" and derive the zero input response Uzir (t) set to "on" Step 4: Find the total output response by adding: vo(t) = Uzsr(t) + Uzir (t) Uzsr (t) with the initial with the initial condition

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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Question

v¡(t)u(t)
R
L
00000
eeeee
L
R
C
+
v(t)
See the dynamic RLC circuit shown above. It has a time dependent input of vi(t)u(t).
Let R = 1 kΩ, C = 0.5 μF, L = 1 μΗ
µF,
and t = 0; a constant voltage (Vs = 3.3volts) is turned on; and all other initial conditions are zero
except the capacitor (Vc(0) = 0.5). Derive the total time domain response. Use superposition
and follow these steps:
Step 1: redraw the CCT in the s-domain with the initial conditions
Step 2: set the initial condition to "off" and derive the zero state response
input "on"
Step 3: Set the input to "off" and derive the zero input response
Vzir (t)
set to "on"
Step 4: Find the total output response by adding: vo(t) = Vzsr(t) + Vzir(t)
Uzsr (t) with the initial
with the initial condition

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