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Chapter 5
First and Second-Order Circuits

First-Order Circuits

First-Order Circuits

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First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to…
RC Circuit without Source

RC Circuit without Source

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When a DC source is abruptly disconnected from an RC (Resistor-Capacitor) circuit, the circuit becomes source-free. Assuming that the capacitor was…
RC Circuit with Source

RC Circuit with Source

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When a DC source is abruptly applied to an RC (Resistor-Capacitor) circuit, the voltage can be represented as a unit step function. The voltage…
RL Circuit without Source

RL Circuit without Source

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When a DC source is suddenly disconnected from an RL (Resistor-Inductor) circuit, the circuit becomes source-free. Assuming the inductor has an…
RL Circuit with Source

RL Circuit with Source

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When an RL (Resistor-Inductor) circuit is connected to a DC source, the complete response of the circuit can be divided into two parts: the transient…
Design Example: Frog Muscle Response

Design Example: Frog Muscle Response

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A student is tasked to work on an intriguing experiment involving an RL (Resistor-Inductor) circuit to study the muscle response of a frog's leg…
Second-Order Circuits

Second-Order Circuits

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Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits…
Series RLC Circuit without Source

Series RLC Circuit without Source

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Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a…
Types of Responses of Series RLC Circuits

Types of Responses of Series RLC Circuits

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A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete…
Series RLC Circuit with Source

Series RLC Circuit with Source

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Consider the operation of an automobile ignition system, a crucial component responsible for generating a spark by producing high voltage from the…
Parallel RLC Circuits

Parallel RLC Circuits

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Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors…
Second-order Op Amp Circuits

Second-order Op Amp Circuits

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Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise.…
Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator…
Testing of all Six Semicircular Canals with Video Head Impulse Test Systems
Throughout the last decade, there has been a rapid development of existing test procedures and methods evaluating the human vestibular system. In…
Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
This manuscript describes an experimental procedure that allows obtaining diverse quantitative information on temporal and spatial evolution of water…
A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Neural entrainment refers to the synchronization of neural activity to the periodicity of sensory stimuli. This synchronization defines the…

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