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JasonHathaway
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Homework Statement
a)[/B] For the following circuit, if Vrms= 40V, write the current and the voltage equations.
http://www.imageupload.co.uk/images/2015/02/26/Captureaa814.png
b) For the following circuit, if i=0.8 sin(1000t-30), write the voltage equation and determine the average value of current.
http://www.imageupload.co.uk/images/2015/02/26/Capture2.png
Homework Equations
Ohm law for AC network.
The Attempt at a Solution
a) [/B] Vmax=Vrms/0.707=56.57 V
ZT=sqrt(R^2+XL^2)=12.72 ohms
Imax=Vmax/Z=4.44 A
So the equations would be:
i=Imax sin(wt) = 4.44 sin (wt)
v=Vmax sin(wt) = 56.57 sin(wt)
Should I write -90 or +90 since I'm dealing with inductor?
b) Since Imax=0.8 A, Vmax=Imax*ZT =0.8*5=4 (ZT=sqrt(R^2+(XL-XC)^2) =5)
v=4 sin(1000t-30)
Iavg=2*Imax/pi = 0.5 A (Or is it zero since we are dealing with sine wave?)
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