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Unformatted text preview: NOT ' Name: 50 («(1,770") October 8, 2004 QUIZ 2 This is a closed book and closed notes exam. You are allowed one 8 1/2" x
11" sheet with writing on both sides. If possible, do all your work on the page of the problem and if necessary on the back side of the preceding page.
You must show complete and correct reasoning to obtain credit for each problem. No credit will be given if you do not show complete work, even if the answer is correct. “I did not give or receive aid during this exam, nor will I discuss the exam with anyone who intends to take it at a different time” Signature: Quiz 2 points:
Quiz 1 points:
HW points: Total to date: Rank in class: 1. (10 pts) A lossless air—ﬁlled transmission line has 20 = 50 Q. A 37.5 cm length of that line is used in the system shown below, driven with a sinusoidal generator at f = 400 MHz.
——> I M SOAfﬁZO—isoa I +——— 3a.: c... ——————>, (a) Find the reﬂection coefﬁcient at the load Zia we 1 . o 9 r; =, 3E” = 0,9335 mm = omelﬂiﬁ’. 0°’$\‘\.°I FL: awn—jaw“ i. (b) Determine the input impedance A := BRIDE = O'}$m
‘taoxlo‘ “5750A = 3;: ~—5 E\K=%L E (c) Find the time—average power absorbed by the load
.‘mu, (05.5% , PL. 75 pm .. . 4x
\M_. (Mi. to = 5.17—8 4015'" PM: 35(24th Ia. g
HODaﬁ“
int—. 10 ‘_ = 0,0ﬁg’ g mas“
lac—duh PL_ O’ZL] (w) (d) If the closest voltage minumim in the standing wave pattern to the load occurs 10.5 cm from the load, sketch the entire standing wave pattern along the line: A lossy transmission line has an inductance per unit length of 375 nH/m, a capacitance per unit length of 150 pF/m, a resistance per unit length of 1 ﬁlm, and a conductance per unit length of 0.01 S/m. If this line is used in the system below at f=1 GHz, what is the magnitude of the load voltage? “x;
_ “32352.1 ‘ , ~
wf‘ = «23% g =0‘7q33 {Oz/away,“ —J0+J 0,25 .. so _n_
k<((4#) ﬂé‘bc __)/'qu W!
——)CMML,£¢ A.“ 7),”, H
7“ Ian X: (I+j&$$6.£)(.o(1J aft/25') = 0,2,4 fun”
“ ’ 5.: 7:
K c /' o(a(
“ " " 0.2 M= v A) t. m
“‘02—: *z‘ 9 W l 5 NI=Iv team
00! : Nb" 5'3 = (77'V 3. (5 p‘ s) Three identical point charges of 2 uC each are located at the corners of an equilateral triangle as illustrated, where d = 1 cm. Find a numerical answer for the force (magnitude and direction) on Q1. E. = df+ffol§ , Ez=~a£+ﬁaj M71: [31/ = \ldzwLBaz' = $24
A 42 [a +2—L}
F: ‘ﬂTeon 2.4 = (Axle6’)z aﬁwm) 4
kDZTéb Lot)" (20.01) = 15373" (H) 4. (10 pts) Consider the vector 3 B=(—2£+45I—82) and the curve described by the equation: 3 —— 2y 2 x2 = z + 2. 3 (a) Calculate the line integral of E along the curve from (1,1,—1) to (3 ,—3,7).
'Waabmh ‘2lﬂ: QXdXSd‘Z'
cu: dxi‘+(—xdx):3 +(2xdx)§ ,
6—412 == ~gdx—4xdx—Mox4x =.  02+;wa ‘ Bcéb = “I (a +Qox)ol)o = —— (1K +IDXZ/ = "8’4 x: x =1 ’ i (b) Are the vector 5 and the tangent vector to the curve at the point (2,—0.5,2) (parallel? )‘ perpendicular? neither? (circle one and show your work below) ‘ WWW = d +— (fag+4€)dx ...
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 Spring '08
 CITRIN

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