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Unformatted text preview: A3 1 10 points
For this problem only the answers put in the boxes will be graded (i.e., you don’t
need to show your work). Consider the circuit shown below and assume that
Vs =1010° and a): 100 rad/sec.
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(a) (4 pts) v; = I A. j =
(b) (4 pts) V; 7“ (are 3:9; Z = i (c) (2 pts) If the frequency were increased, would Z stay the same, increase, or decrease in magnitude? as w’P =3 Riﬂe; 23‘? re mt
AM”? J (43¢ “:59 ﬂop : i J/ "? F C M M i wreckage”; mfmwcﬁ « ‘kumsuu«m‘w1::ngmawW.S~rM\m§ﬁ7ﬂ‘53W!»mumﬁmlltwmhumﬁwwwﬂﬁ$mm~v B O l/ Clé‘idLWaef z, mmW WWWWW WWWWWMWWW1 Ammo ‘3» 6 “WW. u.“ v, d (it; Fﬁﬁti‘fw A4 2 5 points If you have a purely inductive load with a reactance of 2/377 (2 connected to the
120Vrms 60 Hz (i.e., a) = 377 rad/ sec) AC line, what value of capacitor (in Farads) must
be put in parallel with it to set the power factor to one? Explain how you arrive at your
answer or you will not receive ﬁtll credit. :g 2: ' 1L
XL3771L eat. 7% Z, 3.23% P124 77 rév W1 {3% (CL) (QT—OD>
yL : Atomé— '3. é<w¢~ L” 3 5 points A Thevenin source with an open—circuit voltage of voc(t) =10003100t V and an equivalent impedance of 20 + j400 Q is connected to a load consisting of a 20 Q resistor
in series with one other component. What should that component be, and what value (in
Ohms, Farads or Henrys as appropriate) should it have, in order to achieve the maximum
possible power dissipation in RL? Explain how you arrive at your answer or you will not
receive full credit. ___/\/L_.(YY\..——»
—) 2,0 labia 0 VOW Mmeac, Qawa/F" cos, Haggai ab: 3 (:0 “3906) 1L. (Elf—5 #390025) C'sL— 29 “’3ng (ADC—v“ ﬂea. ﬁlémgmrl» ghaolel \Wﬂ £2» {ﬁgﬂaw ‘
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= 29%;: M A5 4 5 points Consider the circuit shown. Carefully draw on the axes provided both V20) and vR(t) and
label their peak values. [5:3 } 5 20 pts
V(t) Consider the circuit shown at top right, which has a source driving a
load comprising a resistor, capacitor
and inductor in parallel. The source
voltage is plotted on both axes below
the schematic and has been present
forever (i.e., the circuit is in AC steady state). (a) (6 pts) Draw 1'}; on the top axes and i L and ic on the bottom axes. The
numerical scales are the same, but are
obviously in amps for the currents and
volts for the voltage. Label the peak values on your plots. (b) (2 pts) What is the average power
being dissipated in the resistor? Show yourwork. P V‘ a: M Til—Um)
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i (Jim 525 *0”? (c) (2 pts) What is the average power
being dissipated in the capacitor? Show your work. Pg :0 I
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(d) (’ pts) What is the reactive power in the inductor? Show your work. QL‘ : VMTLmﬂ/(‘IWCQL COL 1:. —90° .7,
:2 (1)2}? M6739)
z. Qt; 1' 'ﬁ VAR w m (e) (4 pts) What is the power factor of the load? Show your work. . __i_.___\_,... =
K=J§+ch~ui * "96°C— {5 =1+3®3~2ﬁ3 , at; got. X; w__ w o :3; L \
PF"  Z (f) (3’ pts) What is the complex power in the load? Show your work. w..— Ir 7— V Y ( fr 1‘s +Lic: phase/t Valuc‘; 4m QLVCM 53
éhow/L a"; «fr/Lia 1 ﬁg
v :HK . A8 6 10 pts Use nodal analysis to find the AC forced response for v(t) in the circuit below. Assume
that is(t) = 4x5 cos 2t A. Explain how you arrive at your answer or you will not receive full credit.  4‘ 3<J§“ﬂg> i '9 73419.5;
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1: ,3 new A9 7 10 pts Derive an equation for the value of R required to yield a critically damped response for v(t) in the circuit shown. Explain how you arrive at your answer or you will not receive ﬁdll credit. R
+
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~—. LP ————— SCH
LC? P2” +Lf>+ [2 ‘4 TL& QEFm,E$”§‘€KCW Pa’LYw‘wJKWQQM {3 We); Laugh +3 “L”. as» % F‘T’W m t .. LL27
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.— “4’ .. “mmm AXE H’ erxawig Me; *ﬂﬁdrr {Dam<5. A10 8 10 pts R Consider the circuit shown and assume that
C = 10 uF. (a) (4 pts) Derive the value of L required for the circuit to be resonant at a) = 10 krad/sec. Explain how you arrive at your answer or youwill not receive full credit. Qawéwlée, ’73 YC’HL‘: O 2’? boa‘32— :O « 3
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:3 IOOMH (b) (4 pts) If vs(i) = 5 cos(10, 000i) , what will is(t) be? Explain how you arrive at your answer or you will not receive full credit. 6%“; “:10KFAA/5q") {Cw/:0 “53> Edi—“:53” are) "~20 w A»! wam
“fir; ﬂaw«a (c) (2 pts) If v30) = 5 cos(5, 000i) , will is(t) lead or lag vs(t)?
w< too a 21292;” m YL>Y¢
:5 inductee}? down} wagging “View irc+ﬁ£ a L»); 1\ \aé. & ‘ Cmpbcbiwiuev is tie) mu la? Wade), A11 9 15 pts Derive an equation for v00) for t > O in the circuit shown. Explain how you arrive at your answer or you will not receive full credit. ,U
L. A12 10 10 pts Find the values of VR4 and 1m in this circuit (1 want numbers). You may use any
of the techniques we have learned, but explain how you arrive at your answers or you will not receive full credit. , I \_ ,ls/”?7\
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 Fall '08
 Lagerstrom

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