I cannot seem to wrap my head around this problem... If the voltage across and the current through the series combination of a resistance and an unknown energy-storage (presumably an inductor) element are: v=200cos(10^2t + 60°) i=5.547cos(10^2t + 93.96°) then find the resistance as well as the unknown element Any help would be much appreciated.
Yeah. I am just learning about them now. I have been stuck on this problem for awhile.... So, I have two unknowns (R and L) I know that Z=R+jwL I know that V/I=Z I just cannot seem to come up with two equations that will allow me to solve this... any stronger hints that you can help with??
also, I know: This is a simple voltage divider circuit.... hence Vr= R/(r+jwL)Vs where Vs is 200arg(60deg) If I found Vr I could use that to find R by dividing by the current i. This is true because the circuit is in series... But again... I need values for R and L so I am thinking this is the wrong way to go...
You were on the right track with Z = V/I. If you perform the phasor division you can obtain Z, then convert that into rectangular complex to find the values that you are looking for. Phasor: Z = Zmag<(argZ) Rectangular: Z = R + jwL
Convert it to the phasor and Use R= V/ I and make some algebra in complex numbers , its pretty easy Regards Lazukan