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Unformatted text preview: Phasor Form: Vs = Vrms <theta where Vrms = 0.707*Vp and is said to be the effective value. The rms value of a dc voltage is equal to its dc value. Ch. 16 Impedance Complex Numbers: form is A +/ jB in rectangular format, where j = sqrt(1) form is M<theta in polar format M = sqrt(A^2 + B^2) and theta = arctan (B/A) A = M cos(theta) and B = M sin(theta) for a capacitor: since i = C dv/dt and if v = Vp sin(wt0 then i = C*w*Vp*cos(wt) = C*w*Vp*sin(wt + 90deg) where C*w*Vp = Ip and Vp/Ip = 1/wC = 1/(2*pi*f*C) = Xc<90deg Xc is called the reactance of the capacitor for an inductor it can be shown that: Xl = wL = 2*pi*f*L = Xl<+90deg Ch. 18 Series R,L, C circuit: impedance = Z = R +jXl jXc = R +j(Xl  Xc) in rectangular form and the units are ohms. for a given Vs, i = Vs/Zt and Vr = iR, Vc = i*Xc and Vl = i*Xl where all work must be done using complex numbers in either rectangular or polar format....
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This note was uploaded on 12/14/2010 for the course ECET 107 taught by Professor Huehne,karl during the Spring '09 term at IUPUI.
 Spring '09
 HUEHNE,KARL

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