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EE411, Final Exam, Wed., Dec. 10, 20 3, 25pm, BUR212. * Name: ""
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 1. Find the Thevenin equivalent
for the circuit shown. Your answers should
be in terms of V, k, and the circuit
resistances. 0366 2 FOR +59. ape/v 01km},
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EE411, Final Exam, Wed., Dec. 10, 200 , 25pm, BUR212. Name: Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 1. Find the Thevenin equivalent
for the circuit shown. Your answers should
be in terms of V, k, and the circuit
resistances. I EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. @
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 2. The following three parallel devices are connected across a 120Vrms, 60Hz wall outlet:
0 100W resistive light bulb l o
 250VA refrigerator with power factor = 0.80 lagging —‘—~ ’363 CU! Ravi PfN6 i e” o 33oF capacitor Assuming that the voltage phase angle is zero, ﬁnd the total rms phasor current (magnitude and angle)
ﬂowing out of the wall outlet. i’
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i =1 3.30 0.5144 ' EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. @
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 2. The following three parallel devices are connected across a 120Vrms, 60Hz wall outlet: 0 100W resistive light bulb ' o
0 25 OVA refrigerator with power factor 0.80 lagging —36; 7 Guﬂﬂeﬂ‘l’ ﬁNa/C
o ‘47uF capacitor Assuming that the voltage phase angle is zero, ﬁnd the total rms phasor current (magnitude and angle)
ﬂowing out of the wall outlet. ~ 4? I00
For we. WM, IL : 5—“ : ~————— : 0,3334 v*  )ZO
F04 we RQ‘PAI f ; é: .. ago/:3m_
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a EC ‘“ W‘L. .. V : (ia’DVZT’X‘Wx /o"’)(:zD) :. 2.1% I. = I; + Iﬂ, + I; 0.333 +[\.bbB—é\,34ﬂ~+§zd3 EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212.
Ten EquallyeWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 3. A threephase generator has deltaconnected T
windings and is producing SOOMW in a balanced operating a a condition. The linetoline rms voltage 17% = 18kV£30°. Find line current 7a (rms magnitude and angle) when the b
generator power factor is 0.90 lagging,
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3 am“ " _ Vb __ ’300013",
V v; m 4W w __v vl ' ' w p ,
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EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212.
Ten Equally—.Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 3. A threephase generator has deltaconnected f I
windings and is producing 25 OMW in a balanced operating a a condition. The line—toline rms voltage 17a], = 18sz30°. Find line current 7a (rms magnitude and angle) when the b
generator power factor is 0.90 lagging. S [v N‘ c N _. \74b 1.; )3000130 = (0.36710 KV EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 4. Two sinusoidal 60Hz voltage sources are separated by an ideal inductor L. a. Develop an expression for complex power P + jQ
ﬂowing out of source 1 in terms of
V1, V2 , 60L, sin(6), cos(6') . b. Use your expression for P to ﬁnd 0 (in degrees) if P
= 100W, L = 100mH, and V1 = V2 = 120Vrms. Recall that P+jQ : EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. .
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. N Problem 4. Two sinusoidal 60Hz voltage sources are I —> {\
separated by an ideal inductor L. j 60L
a. Develop an expression for complex power P + jQ T P+jQ
ﬂowing out of source 1 in terms of + +
V1, V2 , (0L, sin(0),cos(6) . V14 go V2400 V b. Use your expression for P to ﬁnd 6 (in degrees) if P
= 150W, L = IOOmH, and V1 = V2 =120Vrms. ~~* Recall that P + jQ = V11 5') $9M. QBUaH'M) as [N Q Q SW9) : wLP 5 02,077)(I00x/0";)(/50 : 0ng V, V; ammo)
'9'. 7' 331.0 W EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. @
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 5. A controllable voltage source is connected to the 209 IOMH
series RLC circuit shown. Voltage V3 is set to 10V peak, and its 0 ‘
frequency is slowly varied from 1H2 to lMHz.
a. What value of frequency (in Hz) yields the maximum current + in the circuit?
b. What is the rms magnitude of the current in part a? VS 47 uF a) Tke Johwe % 526m Eli/‘6 boa/aw...
{e R+OiwL + awe ' We Gamayt rams M Nil'ude, will b2 Hoe. aﬁeﬁilCS‘f" (20%er ‘H’lﬂ +o+A/€
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50,91, «Awe, VOL—“weiw m; “J we Hi! 2: 0,394 Ar Rm EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212. @
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 5. A controllable voltage source is connected to the 209 _ lollH
series RLC circuit shown. Voltage VS is set to 10V peak, and its /\
frequency is slowly varied from le to lMHz. a. What value of frequency (in Hz) yields the maximum current
in the circuit? b. What is the nns magnitude of the current in part a? VS 66 uF EE411, Final Exam, Wed., Dec. 10, 2003, 2‘5pm, BUR212. @
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 6. An automobile battery has an open circuit voltage of 12.6V. When two headlights are
connected directly to the battery terminals (headlights drawing 80W total), the battery terminal voltage
drops to 12.2V. Find the Thevenin equivalent circuit for the battery. » EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212.
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 6. An automobile battery has an open circuit voltage of 12.6V. When two headlights are
connected directly to the battery terminals (headlights drawing 80W total), the battery terminal voltage
drops to 12.3V. Find the Thevenin equivalent circuit for the battery. c. EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212. q
Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 7. V A charged capacitor is suddenly connected across a 100kQ resistor. 5 seconds later, the
capacitor voltage has decayed to 1/2 its initial value. Find the capacitance in uF. EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212.
Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 7. A charged capacitor is suddenly connected across a lOOkQ resistor. 3 seconds later, the
capacitor voltage has decayed to 1/2 its initial value. Find the capacitance in HF. See ‘ngmit‘a ~320on 6L , EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. 2
Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 8. The capacitor shown has V(t = 0') = 50V. The switch ‘ r 0.19 closes att= 0. XL X t 0 a. Develop an expression for capacitor voltage V(t), t2 0. State J 0 do) "
the damped resonant frequency in Hz. + b. Usmg the grid prov1ded, carefully sketch the envelop of the V(t) 2 SM: 1 OHH decaying exponential term of V(t).
c. Superimpose the complete graph of V(t) within the envelope. . — ,
Determine the min and max/values of each of the ﬁrst two 1 cycles. .
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Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 8. The capacitor shown has V(t = 0‘) = 50V. The switch 029
closes at t = 0. i ' a. Develop an expression for capacitor voltage V(t), t2 0. State X the damped resonant frequency in Hz. + .
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Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 10. 159 a. erte nodal equatlons for voltages V g 3R A JG. and VB at nodes A and B, respectively.
b. Eliminate V A and V3 to yield a sing e equation for V A. c. Use your equation from part b. to solve
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v6 :(gx—mgvl) = 435+ 324’» EE411, Final Exam, Wed., Dec. 10, 2003, 25pm, BUR212. Ten EquallyWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple.
150 Problem 10. '
a. b. C. Write nodal equations for voltages V A gmda
and VB at nodes A and B, respectlvely. Eliminate V A and V3 to yield a single
equation for V A. Use your equation from part b. to solve for V A. 35V ...
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This note was uploaded on 06/19/2008 for the course EE 411 taught by Professor Lee during the Fall '07 term at University of Texas at Austin.
 Fall '07
 Lee

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