Name: ac circuit phasors: resistor, inductor, capacitor
Uploaded: 2024-04-11T12:48:48.000Z
Duration: 1 min 16 s
Channel: JoVE

Dirençler, indüktörler ve kapasitörler için voltaj-akım ilişkisi, fazör gösterimi kullanılarak zaman alanından fazör veya frekans alanına dönüştürülebilir.
Zaman alanında, Ohm yasası, bir dirençten geçen akım ile üzerindeki voltaj arasında bir ilişki sağlar.
Benzer şekilde, fazör gösteriminde, voltaj ve akım aynı fazdadır ve Ohm yasasını takip eder.
Bir indüktör için, akımın değişim hızı, üzerindeki voltajı verir. Sinüzoidal fonksiyon, polar formatta fazörüne dönüştürülür.
Akım ve gerilim fazörleri karşılaştırıldığında, akım voltajı 90 derece geciktirir.
Euler kimliği kullanılarak, fazör alanındaki akım-voltaj ilişkisi elde edilir.
Benzer şekilde, bir kondansatörü şarj ederken, voltaj değişim hızı, içinden geçen akımı belirler ve sinüzoidal fonksiyon, fazörünü polar formda elde etmek için kullanılır.
Fazör temsilleri, akımın voltajı 90 derece yönlendirdiğini ve akım ile voltaj fazörleri arasındaki ilişkinin, voltajın zaman türevinin ikame edilmesiyle elde edilebileceğini gösterir.

devre elemanları için fazör İlişkileri

Fazör gösterimi, dirençler, indüktörler ve kapasitörler için gerilim-akım ilişkisini zaman alanından frekans alanına dönüştürmek için kullanılan güçlü bir araçtır. Bu dönüşüm alternatif akım (AC) devrelerinin analizini basitleştirir.

Zaman alanında Ohm yasası, bir dirençten geçen akım ile bunun üzerindeki gerilim arasında temel bir ilişki sağlar:

<img alt="Equation1" src="/files/ftp_upload/15107/15107_PT_Equation_1.svg" style="text-align: center; height: 12px;" />

burada V gerilim, I akım ve R dirençtir. Fazör gösteriminde bu ilişki, gerilim ve akım fazörlerinin aynı fazda olması ve Ohm yasasını izlemesi durumunda da geçerlidir.

Bir indüktör için, üzerindeki gerilim ile içinden geçen akım arasındaki ilişki, akımın değişim hızıyla verilir. Bu ilişkiyi temsil eden sinüzoidal fonksiyon, polar formatta kendi fazörüne dönüştürülebilir. Bir indüktör için akım ve gerilim fazörleri karşılaştırıldığında akımın gerilimden 90 derece geride olduğu gözlemlenebilir. Karmaşık analizde temel bir formül olan Euler özdeşliği kullanılarak fazör alanındaki akım-gerilim ilişkisi elde edilebilir.

Benzer şekilde, bir kapasitör şarj edilirken içinden geçen akım, üzerindeki gerilimin değişim hızıyla belirlenir. Yine bu ilişkiyi temsil eden sinüzoidal fonksiyon, fazörüne polar biçimde dönüştürülebilir. Kapasitör durumunda fazör gösterimleri akımın gerilimden 90 derece önde olduğunu gösterir. Bir kapasitör için akım ve gerilim fazörleri arasındaki ilişki, gerilimin zamana göre türevi kullanılarak elde edilebilir.

Devre Elemanları için Fazör İlişkileri

Dirençler, indüktörler ve kapasitörler için voltaj-akım ilişkisi, zaman alanından fazör veya frekans alanına dönüştürülebilir ...

phasor-relationships-for-circuit-elements

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

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 sinusoidal form of this relationship can be written as a phasor in polar form. When the voltage and current phasors are compared, the current lags the voltage by 90 degrees. Euler's identity is used to obtain the current-voltage relationship in the phasor domain.

A capacitor also depends on change, but here the current depends on the rate of change of voltage across it. Its sinusoidal form can also be converted into a phasor in polar form. For a capacitor, the current leads the voltage by 90 degrees. The time derivative of the voltage is used to derive the current-voltage relationship for the phasor form.

AC Circuit Phasors: Resistor, Inductor, Capacitor

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phasor relationships for circuit elements

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key terms and concepts

Learn how phasors describe AC circuit behavior in resistors, inductors, and capacitors, including in-phase signals and 90-degree lead or lag.

AC Circuit Phasors: Resistor, Inductor, Capacitor | 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 Circuit Phasors: Resistor, Inductor, Capacitor

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