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Given is the parallel connected RLC network as depicted in the figure below. The controllable current source I(1) is the system input. The current i(1) flowing through an inductive load is the system output. The constant system parameters are the resistance R, the capacitance C, and the inductance L. a) Using the Kirchhoff's current and voltage laws, derive and write down the linear differential equation which describes the input-output behavior of the RLC network. b) Using the transfer blocks and signals flow, draw the block diagram which corresponds to the differential equation from the task a); denote all signals and transfer elements. In addition, use the block diagram's algebra and

Given is the parallel connected RLC network as depicted in the figure below. The controllable current source I(1) is the system input. The current i(1) flowing through an inductive load is the system output. The constant system parameters are the resistance R, the capacitance C, and the inductance L. a) Using the Kirchhoff's current and voltage laws, derive and write down the linear differential equation which describes the input-output behavior of the RLC network. b) Using the transfer blocks and signals flow, draw the block diagram which corresponds to the differential equation from the task a); denote all signals and transfer elements. In addition, use the block diagram's algebra and

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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Given is the parallel connected RLC network as depicted in the figure below. R C I(t) The controllable current source I(1) is the system input. The current iz(1) flowing through an inductive load is the system output. The constant system parameters are the resistance R, the capacitance C, and the inductance L. a) Using the Kirchhoff's current and voltage laws, derive and write down the linear differential equation which describes the input-output behavior of the RLC network. b) Using the transfer blocks and signals flow, draw the block diagram which corresponds to the differential equation from the task a); denote all signals and transfer elements. In addition, use the block diagram's algebra and reduction, so as to obtain the single transfer element with the input I(t) and output iz(t). Now, imagine there is a parasitic current leakage in the merging node of the network elements R, C, and L. How can this be incorporated as a disturbance? Extend, correspondingly, the detailed block diagram.
Transcribed Image Text:Given is the parallel connected RLC network as depicted in the figure below. R C I(t) The controllable current source I(1) is the system input. The current iz(1) flowing through an inductive load is the system output. The constant system parameters are the resistance R, the capacitance C, and the inductance L. a) Using the Kirchhoff's current and voltage laws, derive and write down the linear differential equation which describes the input-output behavior of the RLC network. b) Using the transfer blocks and signals flow, draw the block diagram which corresponds to the differential equation from the task a); denote all signals and transfer elements. In addition, use the block diagram's algebra and reduction, so as to obtain the single transfer element with the input I(t) and output iz(t). Now, imagine there is a parasitic current leakage in the merging node of the network elements R, C, and L. How can this be incorporated as a disturbance? Extend, correspondingly, the detailed block diagram.
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