August 11th, 2011, 04:11 PM  #1 
Senior Member Joined: Jul 2011 Posts: 245 Thanks: 0  Confusion.
So, we start with: Then we get: by multiplying the equation by Wolfram Alpha does not agree with this: http://www.wolframalpha.com/input/?i=Z%3D%5Cfrac{%5Cfrac{1}{i%5Comega+C}*%28R%2Bi%5Comega+L%29}{R% 2Bi%5Comega+L%2B%5Cfrac{1}{i+%5Comega+C}} Why? Same result if I approach it a different way: 
August 11th, 2011, 04:18 PM  #2 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: Confusion. [color=#000000]It seems like a physics formula, what is the intensity? Wolframalpha may interpret it as the complex .[/color] 
August 11th, 2011, 04:21 PM  #3  
Senior Member Joined: Jul 2011 Posts: 245 Thanks: 0  Re: Confusion. Quote:
 
August 11th, 2011, 06:30 PM  #4 
Senior Member Joined: Jul 2011 Posts: 245 Thanks: 0  Re: Confusion.
Intriguing. Seems it agrees with me now: http://www.wolframalpha.com/input/?i=%28%5Cfrac{R%2Bi*w*L}{i*w*C}%29%2F%28%5Cfrac{R*i*w*C%2Bi^2*w ^2*L*C%2B1}{i*w*C}%29 Wolfram must have an issue with complex fractions? 
August 12th, 2011, 08:21 AM  #5  
Senior Member Joined: Jun 2011 Posts: 298 Thanks: 0  Re: Confusion. Quote:
 
August 12th, 2011, 08:58 AM  #6  
Senior Member Joined: Jul 2011 Posts: 245 Thanks: 0  Re: Confusion. Quote:
 
August 12th, 2011, 09:14 AM  #7 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: Confusion. [color=#000000]I think that if the i denotes the imaginary , then Z is the impedance of an AC circuit, since electric flow changes direction periodically, so if this formula describes an AC circuit it is correct. I haven't studied physics since highschool though so I am not sure! As far as I can remember R stands for resistance and C for capacity. [/color] 
August 12th, 2011, 09:36 AM  #8  
Senior Member Joined: Jul 2011 Posts: 245 Thanks: 0  Re: Confusion. Quote:
 
August 12th, 2011, 10:04 AM  #9  
Senior Member Joined: Jun 2011 Posts: 298 Thanks: 0  Re: Confusion. Quote:
 
August 12th, 2011, 12:07 PM  #10  
Senior Member Joined: Apr 2011 From: Recife, BR Posts: 352 Thanks: 0  Re: Confusion. Quote:
I searched for "impedance" and the definition was the same of resistance, but it says the resistance is the real part of the impedance.. how come is a fraction of two real numbers (potential difference and current) a nonreal number in any sense? Physics is just so unearthly sometimes..  

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