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categoryالهندسة
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
2.
-/8 points
The capacitor in this circuit is initially charged to 5 V before the switch is closed at time t0. Suppose VB 40 V, R 280 0, and L 74 mH, C=40 μF.
t=0
R
L
www
(a) Determine the following initial condition for the capacitor's voltage drop ve
dvc (07) -
V/s
(b) Determine the roots of the characteristic equation for ve
(If the roots are real, state the smaller-magnitude one first; if they are complex, state them in rectangular form, giving the one with positive imaginary part first and using 1 for V-1.)
51-
52-
(c) Determine the voltage drop veit) as a function of time t (in seconds), for t>0. Identify the numerical values of the parameters in whichever of the following forms is appropriate:
ve(t) ket kye+ky (with lal<lbl), or
volt) et [kicos(be) +kysin(be)] + ky.
6=>
v
*2=
V
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