Euler's Formulae: V=1<0degrees * e**-0.5 * e**-j5 = 0.6065<

[eee]

I have a problem: V=1<0degrees * e**-0.5 * e**-j5 = 0.6065<73.5211 degrees

How do you arrive at the answer? The < indicates a phaser at an angle of x degrees.

I know where the 0.6065 comes from, since it is just e**-0.5. I don't see where the phasor angle 73.5211 degrees comes from?

* represents multiplication. ** represents raise to a power.

 

[eee]

I got the answer showing 73 degrees when I plugged it in to my calculator using the complex number function. Don't know how it works out mathematically.

 

[Deleted member 4993]

I got the answer showing 73 degrees when I plugged it in to my calculator using the complex number function. Don't know how it works out mathematically.

Is your problem statement:

\(\displaystyle V \, = \, e^{-0.5}\cdot e^{-j5}\)

 

[eee]

Yes, you have it right. It is the e^-j5 part that I have the problem with. Note I get the answer using complex numbers in my calculator, but don't get it using mathematic.