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Unformatted text preview: ECE211 — 001
Test #2 March 2, 2007 Print Name 1 By signing I am stating that I have taken this quiz in accordance with the
NCSU honor code. Signature (29)ix 1. Calculate the time constant of the circuit above. b 109 3A (1/20)F 30V 2. For the circuit above, the switch has been in position (a) for a long time.
At t = 0, the switch moves to position (b). Solve for ix(t) for t > 0.
\l c, V? 20 "(00+Vc, +avC—Loo:o
’vgmﬁ10ewﬁ: ‘tDV (1/200) F KCLSV (90" k:.. w 9:! +4
«4027., ‘H’v 30m. L Kat: \_/_s_ , ~' Ld: e.
'0 w d 8 or) ’VL '» . [:39 &dUV/d's< 1" 300» *U I” O 30S! CLV /" db (1/8)F i,
<5 4. Write the 2nd order differential equation relating the output, V0 to the input Vs. O
SinCQOL
sooroe
v“ + 3\/s* ’+V:© 5. Given the differential equation and initial conditions below, answer questions a through e. 2
d 2v+40ﬂ+500v:—200 v(0+)=(8/5)V i1:(0+)=10V/s
dt dt dt a. Write the characteristic equation. 52+ LIDS +SOO‘:O Z
“ 2,0 T.le b. Is this circuit overdampe underdamped, or critically damped and Why? Comtﬁexp host 5 0. Determine the steady state output v(oo). 7300 ~ & ————_...._.
__._——— 500 5‘ H d. Solve for V(t).
,Z' .
‘1ok OJ‘ ,_ a “U00: (late Cbs\0t+ Rae 5mm): 3: 3; '0; 9&0‘9“ woke: ‘HO+\OP\?_ L=3 .. ob ’ZQJC
veg) :[giaz cpyot + 36, s\r\\D’<, " e. Write the part of V(t) that is the transient response. ‘2’0‘ ,zot
B C Lois \Ot +' 8/ Ci S‘\(\ \Crg \/ ...
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 Spring '08
 CeciliaTownsend
 order differential equation, NCSU honor code

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