Name: ac source conversion in circuit analysis
Uploaded: 2024-04-11T12:48:49.000Z
Duration: 1 min 11 s
Channel: JoVE

Bir akım kaynağı ve bilinen empedans değerlerine sahip dirençler, kapasitörler ve indüktörlerin bir kombinasyonundan oluşan bir devre düşünün.
Amaç, devrenin en sağdaki kolundaki voltaj düşüşünü belirlemek için kaynak dönüştürme tekniğini kullanmaktır.
Kaynak dönüşümü kullanılarak, bir empedansa paralel bir akım kaynağı, aynı empedansa sahip seri bir voltaj kaynağına dönüştürülebilir veya bunun tersi de geçerlidir.
Ohm yasası uygulanarak kaynak voltajı hesaplanır. Bu değer daha sonra fazör cinsinden ifade edilebilir.
Dönüştürülmüş devrede empedans, üst dalın diğer iki elemanı ile birlikte voltaj kaynağı ile seri haldedir. Eşdeğer seri empedans elde edilir.
Şimdi, voltaj kaynağını tekrar bir akım kaynağına dönüştürmek için kaynak dönüştürme tekniği tekrar uygulanır.
Daha sonra, akım kaynağını tekrar bir voltaj kaynağına dönüştürmek için kullanılan yeni paralel kombinasyonun empedansı elde edilir.
Son olarak, voltaj bölme kuralı, en sağdaki daldaki voltaj düşüşünü belirler.

ac devreleri için kaynak dönüşümü

Frekans alanındaki kaynak dönüşümü süreci, bir empedansla seri olarak konumlandırılan bir gerilim kaynağının, bir empedansa paralel olan bir akım kaynağına veya tam tersi şekilde dönüştürülmesini gerektirir. Bir kaynak türünden diğerine geçişte aşağıdaki ilişkilerin sürdürülmesi önemlidir.

<img alt="Equation1" src="/files/ftp_upload/15112/15112_PT_Equation_1.svg" style="text-align: center; height: 16px;" />

<img alt="Equation2" src="/files/ftp_upload/15112/15112_PT_Equation_2.svg" style="text-align: center; height: 40px;" />

Bir akım kaynağı ve her biri farklı bilinen empedanslara sahip dirençler, kapasitörler ve indüktörlerden oluşan bir devre için bilinmeyen gerilimi belirlemek amacıyla bir dizi adım izlenir. Başlangıçta gerilim kaynağı bir akım kaynağına dönüştürülür ve kaynak akımının (Ⅰs) ve empedansının (Zs) değerleri belirlenir.

Daha sonra akım kaynağının tekrar gerilim kaynağına dönüştürülmesi farklı bir devreyle sonuçlanır. Türetilen bu devreden, daha önce belirlenen değerler kullanılarak kaynak gerilimi (Vs) hesaplanır. Son olarak gerilim bölme kuralı uygulanarak direnç üzerindeki bilinmeyen gerilim belirlenebilir.

AC Devreleri için Kaynak Dönüşümü

Bir akım kaynağı ve bilinen empedans değerlerine sahip dirençler, kapasitörler ve indüktörlerin bir kombinasyonundan oluşan bir devre düşünün.
Amaç ...

Education

JoVE Core

Electrical Engineering

Elektrik Mühendisliği

Unit 1

Ünite 1

AC Circuit Analysis

AC Devre Analizi

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

Source Transformation for AC Circuits

ac source conversion in circuit analysis

AC source conversion is a circuit analysis method used in the frequency domain. It changes a voltage source in series with an impedance into a current source in parallel with the same impedance, or it converts a current source back into a voltage source. The source values must keep the correct relationship during each change.

This method helps solve for an unknown voltage in a circuit that includes a current source and components such as resistors, capacitors, and inductors. Each of these parts has a known impedance. The circuit is handled in steps so the final voltage can be found more easily.

First, the voltage source is converted into a current source. The source current, Is, and the source impedance, Zs, are identified. Next, the current source is changed back into a voltage source, which gives a new circuit form. From that derived circuit, the source voltage, Vs, is calculated. The final unknown voltage across the resistor is then found with the voltage division rule.

AC Source Conversion in Circuit Analysis

sinusoidal sources

AC Waveform Basics and Phase

Alternating current, or AC, changes direction and magnitude over time, unlike direct current, or DC, which flows in one direction with constant polarity. AC is the main form of electricity used for modern power transmission and distribution because it can travel long distances efficiently. In homes, power supplies use sinusoidal sources to deliver electricity. A sinusoidal source creates a voltage that rises and falls in a smooth wave-like pattern. This waveform is called a sinusoid, which is...

graphical and analytic representation of sinusoids

graphical-and-analytic-representation-of-sinusoids

Measuring Sinusoid Phase on an Oscilloscope

Measuring sinusoid phase on an oscilloscope helps compare two sinusoidal voltages with the same amplitude and period. An oscilloscope is an instrument used to display and analyze waveforms. The process starts by reading the peak-to-peak value, which is twice the amplitude of the sinusoid. This shows the maximum voltage swing of the waveform. Next, the period and angular frequency are measured. The period is the time for one complete cycle. Angular frequency, often written as omega, is the rate...

phasors

Phasors for AC Circuit Analysis

Phasors are a mathematical tool for analyzing alternating current, or AC, circuits. They represent sinusoids with complex numbers. The phasor magnitude matches the sinusoid amplitude, and the phasor angle shows the phase measured from the positive x-axis. Phasors make AC circuit analysis simpler by removing time from the current and voltage expressions. That lets an AC circuit be treated like its equivalent direct current, or DC, form for calculations. Phasors can also be written in...

phasor arithmetics

Phasor Rules for AC Circuit Analysis

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phasor relationships for circuit elements

phasor-relationships-for-circuit-elements

AC Circuit Phasors: Resistor, Inductor, Capacitor

AC circuit phasors help show how voltage and current behave for resistors, inductors, and capacitors. Phasor representation moves these relationships from the time domain to the frequency domain, which makes AC circuit analysis easier. For a resistor, Ohm's law still applies. The voltage across the resistor and the current through it stay in phase, so their phasors point in the same direction. An inductor works differently because its voltage depends on the rate of change of current. The...

kirchoff's laws using phasors

AC Circuit Rules with Phasor Diagrams

AC circuit analysis uses Kirchhoff's voltage law and Kirchhoff's current law with phasors. In household wiring, AC power from a distribution panel is sent to appliances connected in parallel. These rules help describe how voltage and current behave in sinusoidal steady state. Kirchhoff's voltage law, or KVL, says that the sum of phasor voltages around a closed loop in an AC circuit is zero. The voltages can first be written in the time domain and then changed into phasor form. In phasor...

impedances and admittance

AC Circuit Response: Impedance and Admittance

AC circuit response changes with frequency, and impedance describes how resistors, inductors, and capacitors affect sinusoidal current flow. In phasor form, voltage and current are used to show this behavior in a clear way. Impedance is a key idea in AC circuit analysis because it measures opposition to current in an alternating circuit. These components behave differently in AC than in DC. In DC circuits, inductors act like short circuits and capacitors act like open circuits. In AC circuits,...

impedance combination

Series and Parallel Impedance Rules

Impedance in series and parallel circuits follows the same rules used for resistors. A string of Christmas lights is a simple example. Each bulb represents one impedance element. In a series connection, the current stays the same through every component. This series behavior matches Kirchhoff’s Voltage Law, or KVL. The total impedance in the circuit is the sum of the individual impedances. The source voltage is then divided among the components based on their values. This is the voltage...

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AC Circuit Node Method in an Angioplasty Model

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mesh analysis for ac circuits

Impedance Matching with Mesh Currents

Impedance matching in radio communication uses resistor, capacitor, and inductor circuits to help signals move efficiently between a transmitter and a receiver. The circuit must balance the input and output signals before the current in the capacitor can be found. This makes the problem a good example of AC circuit analysis for high school students. The first step is to identify the input voltage and the output signal. The angular frequency is then taken from the time-domain form of the input...

source transformation for ac circuits

AC source conversion is a circuit analysis method used in the frequency domain. It changes a voltage source in series with an impedance into a current source in parallel with the same impedance, or it converts a current source back into a voltage source. The source values must keep the correct relationship during each change. This method helps solve for an unknown voltage in a circuit that includes a current source and components such as resistors, capacitors, and inductors. Each of these...

th&#233venin equivalent circuits

Finding Voltage and Impedance in Circuit A

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Norton Current in AC Circuit Analysis

Norton’s theorem helps simplify complex AC circuits by replacing a two-terminal linear network with a smaller equivalent circuit. That equivalent circuit uses an impedance in parallel with a constant current source. The method lets students break one complicated circuit into two parts and analyze them more easily. To build the Norton equivalent, the source is replaced by its internal impedance. The result is the Norton impedance, which is the same as the Thévenin impedance. This parallel...

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Analyzing Mixed-Frequency Linear Circuits

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op amp ac circuits

Analyzing an Op Amp Audio Filter

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design example: capacitance multiplier circuit

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Capacitance Multiplier Circuit for Larger Capacitance

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key terms and concepts

Learn how AC source conversion turns voltage sources into current sources and back again to find unknown voltage with impedance and voltage division.

AC Source Conversion in Circuit Analysis | JoVE K12

JoVE Core Elektrik Mühendisliği, devre analizi teknikleriyle birlikte elektrik devrelerinin temel kavramlarını kapsayan, anlaşılması kolay animasyonlu videolar sunar. Operasyonel amplifikatörler ve devre dönüşümü kavramlarını kullanarak birinci dereceden ve ikinci dereceden devreleri içerir. Pratik tasarım örneklerinin ve gerçek dünya uygulamalarının bilim insanlarınca hazırlanan videolar aracılığıyla dahil edilmesi, karmaşık kavramları erişilebilir hale getirerek önemli bir eğitim değeri katmaktadır.

electrical engineering

AC Source Conversion in Circuit Analysis

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