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4hv.org :: Forums :: General Science and Electronics
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RL circuit help

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Dr. Dark Current
Sun May 17 2009, 09:05AM Print
Dr. Dark Current Registered Member #152 Joined: Sun Feb 12 2006, 03:36PM
Location: Czech Rep.
Posts: 3384
I think this one should be a piece of cake for you guys wink

Let's say you have series RL circuit, connected to a constant voltage constant frequency AC voltage source. The inductor is characterised by its inductive reactance, Xl. The resistor is variable. The question is, at which value of the resistor relative to Xl, will be the dissipated power on the resistor the highest?

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Z28Fistergod
Sun May 17 2009, 01:13PM
Z28Fistergod Registered Member #2040 Joined: Fri Mar 20 2009, 10:13PM
Location: Fairfax VA
Posts: 180
I'd say the point when R equals Xl. To get the maximum amount of power transfer from source to load you want the load impedance to be the complex conjugate of the source impedance. If that isn't possible, as in this case, you want the magnitudes of the impedances to be matched.
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PanosB_GR
Sun May 17 2009, 01:24PM
PanosB_GR Registered Member #1680 Joined: Fri Sept 05 2008, 04:19PM
Location: Greece
Posts: 43
I would say:

for voltage V,
source resistance R,
resistor r,
inductance L,
frequency f,

Current is
i=V/Z=V/(r+R+j*2*pi*f*L)

Pr=r*Norm[i] ^2

Pr_max: dPr/dr=0
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Mads Barnkob
Sun May 17 2009, 02:01PM
Mads Barnkob Registered Member #1403 Joined: Tue Mar 18 2008, 06:05PM
Location: Denmark, Odense C
Posts: 1968
Hopefully I know what I am doing, so this might be a help, ill ship you the spreadsheet if its what you need, had the time on my hands and felt like it :D
1242568866 1403 FT69600 Rl
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Dr. Dark Current
Sun May 17 2009, 02:18PM
Dr. Dark Current Registered Member #152 Joined: Sun Feb 12 2006, 03:36PM
Location: Czech Rep.
Posts: 3384
Thanks guys! So it's indeed when Xl=R.

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