How Do You Analyze and Graph a Complex AC Voltage Equation?

[joe007]

Homework Statement

A complex AC voltage is given by the equation
v = 3e^j450t :
Note the use of bold v to represent the complex voltage.
For this voltage waveform, what are the values of
-volltage amplitide
-frequency
-instantaneous voltage
-graph it in a argand diagram at t=pi/1800

Homework Equations

V=Vocoswt

w=2PIf

The Attempt at a Solution

-well so far i know the voltage amplitude is 3 volts
-j is an imaginary number
-the expansion is v=3(cos450t+jsin450t)

not sure about the others

 

[rock.freak667]

The Attempt at a Solution

-well so far i know the voltage amplitude is 3 volts
-j is an imaginary number
-the expansion is v=2(cos450t+jsin450t)

not sure about the others

I think you mean V = 3(cos450t+jsin450t)

Which is comparable to the form V= V₀(cosωt+jsinωt) where ω is the angular frequency.

For the instantaneous voltage, are they asking it for the time at t = π/1800 ?

 

[joe007]

dats right, so the frequency is 450/2pi

 

[joe007]

but how can i draw the argand diagram?

 

[rock.freak667]

but how can i draw the argand diagram?

Well in V = 3(cos450t+jsin450t)
just put t= π/1800 and you will get a complex number in the form V = a+jb to draw which should be easy for you to do.