AmTran_Bus
  • AmTran_Bus
If z=1+i, then the magnitude of z is sqrt(2). What is the phase angle of z?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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AmTran_Bus
  • AmTran_Bus
Tan y/x. Book says 1, isnt it real/imag? How did they get that?
AmTran_Bus
  • AmTran_Bus
I know they got the mag. by mult. by conjugate.
zepdrix
  • zepdrix
|dw:1441485844188:dw|

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zepdrix
  • zepdrix
Just set up a triangle I guess :)
zepdrix
  • zepdrix
|dw:1441485936796:dw|
AmTran_Bus
  • AmTran_Bus
Hum. Ok. The book just says use y/x (pchem book). If z=x+iy, and the mag is sqrt 2, can you not just say y/x?
AmTran_Bus
  • AmTran_Bus
It says =1 which in angle terms is 45.
zepdrix
  • zepdrix
Yes, but I thought you were having trouble with it conceptually :P so i went into a little more detail lol
AmTran_Bus
  • AmTran_Bus
Thanks for that! I actually understand the graph! Been doing Pchem all day and brain fried.
zepdrix
  • zepdrix
|dw:1441486086282:dw|
zepdrix
  • zepdrix
Therefore: \(\large\rm arctan\left(\frac{y}{x}\right)=\theta\)
zepdrix
  • zepdrix
Ya I guess we gotta be careful with our y, right? We're thinking of our complex number \(\large\rm z=x+iy\) So the i is not included in the y. It's just the distance in that direction. So ya y=1, good good
AmTran_Bus
  • AmTran_Bus
arctan (1/1) does not give 45 degrees though.
zepdrix
  • zepdrix
no? :o it should. are you in radians, maybe it's spitting out pi/4 as a decimal value
AmTran_Bus
  • AmTran_Bus
Bless you, Zepdrix.
zepdrix
  • zepdrix
silly bus -_- we're gonna downgrade you to a shortbus some day
AmTran_Bus
  • AmTran_Bus
I need to be.
zepdrix
  • zepdrix
XD

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