In the RLC circuit shown at right, the generator voltage can be represented by e
ID: 1564675 • Letter: I
Question
In the RLC circuit shown at right, the generator voltage can be represented by epsilon (t) = epsilon_max cos (omega t). The inductance L = 20mH, the resistance R = 200 ohm, the peak generator voltage epsilon_max = 24 V, and the generator frequency omega = 1000 rad/sec. The current leads the generator EMF by phi = 40 degree. The value of the capacitance C is unknown. Which of the following phasor diagrams best represents this circuit at t = 0? What is C, the value of the capacitance in the circuit? C = 3.47 mu F C = 6.95 mu F C = 8.33 mu F C = 10.5 mu F What is t_1, the first time after t = 0 that the magnitude of the voltage across the inductor is a maximum? t_1 = 0.87 ms t_1 = 0.70 ms t_1 = 1.57 msExplanation / Answer
4)
OPTION (d)
(5)
tanphi = (Xc-XL)/R
XL = wL
Xc = 1/(wC)
tan40 = ((1/(1000*c)) - (1000*120*10^-3))/200
C = 3.47*10^-6 F = 3.47 uF
OPTION (a)
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VL = Emax*sin(wt)
VL = Emax
sinwt = 1
1000t = pi/2
t = pi/2000
t = 1.57 ms