Problem of placing the cartesian co-ordinates with imaginary axis

[arnab913]

Hello,
If I wanna place an imaginary axis,with the cartesians,what will be it's graphical view??
We know,
if z=x+i*y,(y=imaginary),
where x & y are right angled to each other.Then where we should place cartesian y or z axis.....
i'm confused...:-?

 

[DeboraHarry]

It's common to plot a complex number, on a 2D graph, with the real part on the x-axis and the imaginary part on the y axis. There is no need for any z axis. Mathmaticians usually use "i" to indicate the square root of -1, but electrical engineers (and perhaps other engineers), use "j", since "i" is used for current.

If an electrical circuit has a resistive component R, and a reactive component X, then the complex impedance Z would be written as

Z = R + j X

I don't know if that relieves your confusion, or adds to it!

Deborah

 

[jeffrey samuel]

all three axis are in right angles at any point of time and you will only need x and y axis to plot a complex no

the third axis never is used in a complex no representation since there is no third quantity to be represented it is only 2 D and not 3D

if it is (x,y,z) the z axis is significant but if only x+iy it is not needed at all

 

[arnab913]

all three axis are in right angles at any point of time and you will only need x and y axis to plot a complex no

the third axis never is used in a complex no representation since there is no third quantity to be represented it is only 2 D and not 3D

if it is (x,y,z) the z axis is significant but if only x+iy it is not needed at all

I might've got your point.In complex representation,there is no need of z axis there.So if i think to plot a complex number on 2D graph,I should place x & y axis right angled,and imaginary x axis right angle to both of them,i.e.in place z axis of cartesian.
Am I right?
If it is,then there should be an imaginary part for y axis......where it should be....
I don'tknow whethwr i got it or not!! pls help.
Thanx for reply....

- - - Updated - - -

It's common to plot a complex number, on a 2D graph, with the real part on the x-axis and the imaginary part on the y axis. There is no need for any z axis. Mathmaticians usually use "i" to indicate the square root of -1, but electrical engineers (and perhaps other engineers), use "j", since "i" is used for current.

If an electrical circuit has a resistive component R, and a reactive component X, then the complex impedance Z would be written as

Z = R + j X

I don't know if that relieves your confusion, or adds to it!

Deborah

yah,it causes phase difference to current & voltage.It works fine when there is only 1 real component or axis(R).
Thanx for reply...

 

[errakeshpillai]

I might've got your point.In complex representation,there is no need of z axis there.So if i think to plot a complex number on 2D graph,I should place x & y axis right angled,and imaginary x axis right angle to both of them,i.e.in place z axis of cartesian.
Am I right?
If it is,then there should be an imaginary part for y axis......where it should be....
I don'tknow whethwr i got it or not!! pls help.
Thanx for reply....

You are getting it wrong bro.

Suppose a complex number f = 2+3i
Here the real part is 2, so it is marked on the x-axis (i.e. the real axis)
And 3 is the imaginary part, so it is marked on the y-axis (i.e. the imaginary axis)

You are thinking that x-axis has a real and imaginary part
and the y-axis too has a real and imaginary part.
So a total of 4 axis....???

Thats not true...


For any complex number, the Cartesian x-axis marks the real part, and the Cartesian y-axis marks the imaginary part.

Hope I'm not confusing you..

 

[arnab913]

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For any complex number, the Cartesian x-axis marks the real part, and the Cartesian y-axis marks the imaginary part.

Hope I'm not confusing you..

So,complex number is always 2D,with one real axis....
no, i got my wrong conception....Thanx a lot

 

[errakeshpillai]

yes...not u got it correct.