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Chapter 5

First and Second-Order Circuits

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Цепи первого порядка

Electrical circuits with resistors and a single energy storage element - a capacitor or inductor are called first-order circuits. They are described by a ...

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Радиоуправляемая цепь без источника

When a DC source is removed abruptly from an RC circuit, the circuit becomes source-free. Assuming the fully charged capacitor's initial voltage is ...

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Радиоуправляемая цепь с источником

When a DC source is applied abruptly to an RC circuit, its voltage is represented as a unit step function. The voltage across the capacitor is the step ...

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Схема RL без источника

When a DC source is suddenly disconnected from an RL circuit, it becomes source-free. Assuming the inductor has an initial current i0, the initial energy ...

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RL-схема с источником

When an RL circuit is connected to a DC source, its complete response is divided into transient and steady-state responses. The transient response is the ...

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Пример дизайна: реакция мышц лягушки

A student uses an RL circuit to study the muscle response of a frog's leg to electrical stimulation. Closing the switch causes a brief muscle ...

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Цепи второго порядка

An electrical circuit comprising two irreducible energy storage elements is called a second-order circuit. Some examples include RLC circuits as well as ...

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Цепь серии RLC без источника

A source-free RLC circuit a composed of a resistor, an inductor, and a capacitor in series without an external energy source. Here, the initial energy ...

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Типы откликов цепей серии RLC

A source-free series RLC circuit is represented by a second-order differential equation. Its complete solution is a linear combination of two distinct ...

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Серия RLC Circuit с источником

Consider an automobile ignition system that produces high voltage from the battery essential for generating a spark. This system can be modeled as a ...

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Параллельные RLC-цепи

Consider a street lamp with an RLC surge protector to protect its components from sudden voltage spikes. This setup can be approximated by the simplest ...

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Схемы операционных усилителей второго порядка

Consider an audio system that utilizes a second-order low-pass filter to eliminate the undesirable high-frequency noise in the audio signal. This setup ...

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Пример проекта: параллельная RLC-цепь с недостаточным демпфированием

Underdamped parallel RLC circuits can sustain oscillations at a resonant frequency, making them suitable for use in oscillators. An electrical engineer is ...

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