Figure 8 showsa resistor inductor capacitor (RLC) circuit. The input to the system isthe voltage v(t) and the output of the circuit is the current iz (t).8R,i(t)iz(t)v(t)Ve(t)R2Figure 8a)Determine differential equations containing i, (t), iz (t) and v. (t) for theappropriate meshes and nodes.b) Assuming zero initial conditionsi)derive Laplace transformations of the differential equations found in a)ii)determine the transfer function G(s) =I2(s)VIs where l2(s) = L{i2 (t}}and V(s) = L{v(t}.

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inductor capacitor (RLC) circuit. The input to the system is the voltage v(t) and the output of the circuit is the current iz (t). i(t) iz(t) velt) R2 v(t) Figure 8 a) Determine differential equations containing i, (t), i () and ve (t) for the appropriate meshes and nodes. b) Assuming zero initial conditions » derive Laplace transformations of the differential equations found in a) i) determine the transfer function G[S) = 35, where 2(s) – Lliz (t)} and V(s) = L{v[t)}.

inductor capacitor (RLC) circuit. The input to the system is the voltage v(t) and the output of the circuit is the current iz (t). i(t) iz(t) velt) R2 v(t) Figure 8 a) Determine differential equations containing i, (t), i () and ve (t) for the appropriate meshes and nodes. b) Assuming zero initial conditions » derive Laplace transformations of the differential equations found in a) i) determine the transfer function G[S) = 35, where 2(s) – Lliz (t)} and V(s) = L{v[t)}.

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

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Figure 8 showsa resistor inductor capacitor (RLC) circuit. The input to the system is
the voltage v(t) and the output of the circuit is the current iz (t).
8
R,
i(t)
iz(t)
v(t)
Ve(t)
R2
Figure 8
a)
Determine differential equations containing i, (t), iz (t) and v. (t) for the
appropriate meshes and nodes.
b) Assuming zero initial conditions
i)
derive Laplace transformations of the differential equations found in a)
ii)
determine the transfer function G(s) =
I2(s)
VIs where l2(s) = L{i2 (t}}
and V(s) = L{v(t}.

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