- #1
mdnazmulh
- 51
- 0
I'm sure my question is very simple to most of u guys. But I have the following confusion.
Let's say we have an AC voltage source in a circuit. In rectangular form it's phasor form is
v= -4 - 16 j .
I want to write this phasor in polar form. Well, The phasor is in 3rd quadrant of complex plane.
It's magnitude comes out to be 16.49
For phase angle,
[tex]\phi[/tex] = arctan (-16/-4) = 75.96◦
To shift 75.96 degrees from 1st quadrant to 3rd quadrant I can approach in 2 ways. like
[tex]\phi[/tex] = 75.96+ 180 = 255.96◦
or,
[tex]\phi[/tex] = 75.96- 180 = -104.04◦
Thereby in polar form, v can be written like either v= 16.49[tex]\angle255.96[/tex] or, v= 16.49[tex]\angle-104.04[/tex].
From mathematical point of view both the polar forms of v are ok.
My question is that from electrical engineering viewpoint which polar form is to be written i.e. which phase angle is preferred in practice 255.96◦ or -104.04◦?
Let's say we have an AC voltage source in a circuit. In rectangular form it's phasor form is
v= -4 - 16 j .
I want to write this phasor in polar form. Well, The phasor is in 3rd quadrant of complex plane.
It's magnitude comes out to be 16.49
For phase angle,
[tex]\phi[/tex] = arctan (-16/-4) = 75.96◦
To shift 75.96 degrees from 1st quadrant to 3rd quadrant I can approach in 2 ways. like
[tex]\phi[/tex] = 75.96+ 180 = 255.96◦
or,
[tex]\phi[/tex] = 75.96- 180 = -104.04◦
Thereby in polar form, v can be written like either v= 16.49[tex]\angle255.96[/tex] or, v= 16.49[tex]\angle-104.04[/tex].
From mathematical point of view both the polar forms of v are ok.
My question is that from electrical engineering viewpoint which polar form is to be written i.e. which phase angle is preferred in practice 255.96◦ or -104.04◦?