Drawing an argand diagram of complex voltage

In summary, an argand diagram is a graphical representation of complex numbers on a plane, with the horizontal axis representing the real part and the vertical axis representing the imaginary part. It is used to represent complex voltage in order to visualize its magnitude and phase, which is important in understanding AC circuits. To draw an argand diagram, the real and imaginary parts of the voltage are plotted, the magnitude and phase are calculated, and a vector is drawn from the origin. An argand diagram provides information about the magnitude and phase of a complex voltage and can help in understanding circuit behavior, but it has limitations in representing time-varying voltages and interpreting extreme values.
  • #1
joe007
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Homework Statement



draw an argand diagram of the complex voltage v at t=pi/1800, also how do i obtain the instantaneous voltage

Homework Equations


i = lcoswt


The Attempt at a Solution


well so far i have a straight line
 
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  • #2
also i know the projection on the horizontal axis represent the voltage and current
but what's d method of drawing it
 

1. What is an argand diagram?

An argand diagram is a graphical representation of complex numbers on a plane. It is a Cartesian coordinate system where the horizontal axis represents the real part of a complex number and the vertical axis represents the imaginary part.

2. Why is an argand diagram used to represent complex voltage?

An argand diagram is used to represent complex voltage because it allows us to visualize the magnitude and phase of a complex voltage. This is important in understanding the behavior of AC circuits, where voltage is represented by a complex number.

3. How do you draw an argand diagram of complex voltage?

To draw an argand diagram of complex voltage, first plot the real part of the voltage on the horizontal axis and the imaginary part on the vertical axis. Then, use the Pythagorean theorem to find the magnitude of the voltage and the inverse tangent function to find the phase. Finally, draw a vector from the origin to the complex number representing the voltage.

4. What information can be obtained from an argand diagram of complex voltage?

An argand diagram of complex voltage provides information about the magnitude and phase of a complex voltage. It can also show the relationship between different complex voltages in a circuit and help in understanding the behavior of the circuit.

5. Are there any limitations to using an argand diagram to represent complex voltage?

One limitation of using an argand diagram is that it only represents a single complex voltage at a specific point in time. It does not show the time-varying nature of AC circuits. Additionally, it can be difficult to accurately draw and interpret the diagram for complex voltages with very small or very large magnitudes.

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