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**Unformatted text preview: **Name: EE 153 Summer 2006
Exam #2
100 pts Show all Work and all answers must have proper units
Problems worth 20pts each. 1) For the following Circuit
a. Find I in Phasor notation
b. Complex Power Supplied by the source. c. What Power Factor does the system operate at?
(1. Draw the Power Triangle of the System. Vs=50 V,ms
m= 100 rad/sec r4 w"
001,: V/g : 30V : 3,97 5112 Arms-
ﬂb [’52, wé/giéo 2) An application calls for a device to be used that draws 10 kW at a power factor of
PF=.80 lag. The system operates on a voltage of 100Vmus and at co=1001r. a. Calculate the Complex power the devi e r uires.
b. How much reactive power must @onsumed (circle one) to
cause the system to operate at Uni Power Factor.
c. What component (Inductor is required to satisfy the criteria for
unity power factor?
W:O~%O = c069 ) laﬁ, 4’ 5>Q ) LL: 39(09D Te
COS;ng ’P:IQ\<\,\): JiVM—IMCOSG ? %Vm1m(o.8) \ d, ‘ p
Q: :vm imsme : lPi’Eiismbe-Cl") T" ‘—
l j: '
goalieogw 750:3} 3) Draw the Bode amplitude plot for the following transfer function. 10 (0.01s+1) (0.02s+1) H(s) 4) Given the following pole-zero map
a. Find the Transfer Function. Leave in Factored Form
b. Given the following input what is the output of the system Vin(t)= 10e'3t cos(150t+25°) + 10 cos(100t +63°) v V01: HstVl = 10 1&9 (3 (3469503 (3+‘,\%o +10) \
(baU‘ lSD + 43" (At 46150 —’ 3\ MwySo $333 14-54%, “3—5 VOCOS ond:+b'b°l —-> v): to /Lo'&>° ) 510mm I“ VDL: -= )0! 923° LblOO)<\')(OO+ \Oxﬂ V i Q00 * 45%;; ‘00 335%th a) 0 =3.-o:>< 155/1112 — 45% °\ ‘3 a - 5:410”? V
“0’qu (ﬂitglmbse LDSQSOJC"552Vl “50””? 3‘90 \ ’ 5) Answer the following a. A circuit has a source impedance ons=lO—j 15 ohms. What is the value of
the load impedance that will maximize the amount of real power, P, that is
delivered? Zn: hi; : (CUBS). b. A circuit has a load impedance onL=10—j 15 ohms. What is the value of
the source impedance that will maximize the amount of real power, P, that
is delivered? 7: \/ A" c. Find the quality factor for the following circuit. (00:1000 rad/sec 2 \ X“ R 031—. \OOOC‘D Y R I R D “2.0
10m“ 20 ohms 6
MA,— :: Q. d. Write the transfer function H(s)=VoNs for the following circuit. 1mg 10
+
\/6C +
20 V0
Hts): \_/9__ 620 _ _ "523/ _V VS! ‘/5le\O—?>> ” ’ ...

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- Summer '06
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