Name: measuring sinusoid phase on an oscilloscope
Uploaded: 2024-04-11T12:48:48.000Z
Duration: 1 min 20 s
Channel: JoVE

El análisis de dos voltajes sinusoidales en un osciloscopio con igual amplitud y período, pero con diferentes fases, implica tres pasos.
En primer lugar, se mide el valor de pico a pico, que es el doble de la amplitud. En segundo lugar, se determinan el período y la frecuencia angular.
En tercer lugar, los valores de voltaje para ambas sinusoides se miden en un tiempo fijo para determinar el ángulo de fase, que depende de si la sinusoide tiene una pendiente positiva o negativa.
Se puede utilizar una representación gráfica para comparar dos sinusoides, donde el eje horizontal representa la magnitud del coseno y el eje vertical representa la magnitud del seno.
Al igual que las coordenadas polares, los ángulos medidos en sentido contrario a las agujas del reloj y en el sentido de las agujas del reloj desde el eje horizontal son positivo y negativo, respectivamente.
Al restar 90 grados del argumento del coseno se obtiene la función seno.
Dos sinusoides de la misma frecuencia, una en forma de seno y la otra en forma de coseno, se pueden agregar usando la representación gráfica.
La hipotenusa del triángulo rectángulo representa la sinusoide resultante, y su argumento, medido desde el eje horizontal, es igual al coseno inverso de la razón entre la base y la hipotenusa.

representación gráfica y analítica de sinusoides

Graphical and Analytic Representation of Sinusoids

El análisis de dos voltajes sinusoidales con igual amplitud y período, pero diferentes fases en un osciloscopio, un instrumento utilizado para mostrar y analizar formas de onda, implica un proceso de tres pasos. El primer paso es medir el valor pico a pico, que es el doble de la amplitud de la sinusoide. Esto proporciona información sobre la oscilación máxima de voltaje de la forma de onda. En segundo lugar, se determinan el período y la frecuencia angular. El período es el tiempo que tarda un ciclo completo de la forma de onda, mientras que la frecuencia angular (a menudo indicada por la letra griega omega, ω) es la velocidad a la que oscila la forma de onda. El tercer paso consiste en medir los valores de tensión para ambas sinusoides en un momento fijo en el tiempo. Esto se utiliza para determinar el ángulo de fase, que depende de si la sinusoide tiene pendiente positiva o negativa en ese punto. Se puede emplear una representación gráfica para comparar las dos sinusoides. En esta representación, el eje horizontal representa la magnitud del coseno y el eje vertical representa la magnitud del seno. Esta disposición recuerda a las coordenadas polares, donde los ángulos medidos en sentido antihorario desde el eje horizontal se consideran positivos, mientras que los medidos en el sentido de las agujas del reloj se consideran negativos. Curiosamente, restando 90 grados del argumento de una función coseno, se obtiene la función seno. Esta propiedad se puede aprovechar cuando se trata de sinusoides. Para sumar dos sinusoides de la misma frecuencia, uno en forma seno y otro en forma coseno, vuelve a entrar en juego la representación gráfica. La hipotenusa del triángulo rectángulo formado por estas sinusoides representa la sinusoide resultante. El argumento de esta sinusoide resultante, medida desde el eje horizontal, es igual al coseno inverso de la relación entre la base y la hipotenusa. En conclusión, el uso de un osciloscopio junto con una sólida comprensión de los principios trigonométricos proporciona un poderoso conjunto de herramientas para analizar voltajes sinusoidales. Este conocimiento no solo ayuda a comprender el comportamiento de los circuitos de CA, sino que también encuentra aplicaciones en numerosos campos como las telecomunicaciones, el procesamiento de señales y los sistemas de energía.

Representación gráfica y analítica de sinusoides

El análisis de dos voltajes sinusoidales en un osciloscopio con igual amplitud y período, pero con diferentes fases, implica tres pasos.
En primer lugar, el ...

graphical-and-analytic-representation-of-sinusoids

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Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

AC Circuit Analysis

Análisis de circuitos de corriente alterna (CA)

KEY TERMS AND CONCEPTS

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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 at which the waveform oscillates. After that, the voltage values of both sinusoids are checked at one fixed time. That comparison is used to find the phase angle. The phase angle depends on whether the sinusoid has a positive or negative slope at that point.

A graphical method can also be used to compare the two sinusoids. In this setup, the horizontal axis shows the magnitude of cosine, and the vertical axis shows the magnitude of sine. The arrangement is similar to polar coordinates. Angles measured counterclockwise from the horizontal axis are positive, while angles measured clockwise are negative. Another useful fact is that subtracting 90 degrees from the argument of a cosine function gives the sine function.

This graph can also help when adding two sinusoids with the same frequency, one in sine form and one in cosine form. The right triangle formed by the two components has a hypotenuse that represents the resultant sinusoid. The angle of that result, measured from the horizontal axis, equals the cosine inverse of the ratio of the base to the hypotenuse. Together, the oscilloscope and trigonometry give a strong way to analyze sinusoidal voltages. These ideas are useful for AC circuits and for fields such as telecommunications, signal processing, and power systems.

Measuring Sinusoid Phase on an Oscilloscope

measuring-sinusoid-phase-on-an-oscilloscope

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graphical and analytic representation of sinusoids

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...

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Learn how to measure peak-to-peak value, period, angular frequency, and phase angle of sinusoidal voltages using an oscilloscope and a graphical method.

Measuring Sinusoid Phase on an Oscilloscope | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

Measuring Sinusoid Phase on an Oscilloscope

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