ee313_exam1_fall2002

ee313_exam1_fall2002 - ma ft/o‘/’ BB 313 Midterm Quiz...

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Unformatted text preview: ma ft /o‘/’ BB 313 Midterm Quiz Fall ’02 Name ’ v 1(20%) a _ _ r .H W‘gmqmmmjh -/ ‘op «i 2. mm do c Given: H(s) =Z—L . we {6‘ b) @200 “m, S + 205 r ﬁgmﬁw ,5 4;”, r i. gangott . a 4;: .1 Moo 3W 4:” use = m ~3W W a” ’ N a) Findzyf(t) if f(t)=50cos(@+60°) , ' 0 :0.(ﬂiﬁ’<& % 5990‘ ’50 I HQWH COS ( Wit + (10” 4 g, iii/[6’ bf 54.863 603 (Moe Haj/ff); / ;» < U) 8 5" '1 H ' ﬁlter. Hint : What type ﬁg?! is this? p.» b) Make a sketch showing IH ( j w)‘ {Hi/SW71 2( 10%) The input to an ideal high pass ﬁlter is given as: f (t) = 7 Low/+30") #- &ces(i‘0_0t) + 4 cos(200t + 15") + 16 cos(3 OOt - 45") What is the forced response yfﬂ) if the cutoff frequency is m rad/8v“, -i,,_._.A—A-—~V"‘ '"' ' > in f L“ \ WEE)? 4005 (acct + £3394 (or we met: Lia) 3(1 0%) Evaluate: 00 2 (3’ + D50 — 5) d: 4(25%) Suppose h(t)=6[u(t)-u(t-5)] and f(t)=4u(t). Find W) W, Make a _ 3 sketch showing y(t). a “:56 l 1; ac U (4, E}; 3 JG 2: IA” Mt} 2’0 «aw ’50 {a +MH9fﬁ) \$54523 .V , my»; 4 m we k >§ I q — 1 EM? )4: “.6; ,. _ >{ f. a t» “ " (0 ' ’c 6r £ 4 o o / Iﬂ ‘ 4 Wu}; (G) 0. ‘20 ”f;, w -- ~ .00 & 6 A a f ' :~ --r "" '“F g: “g. 7M5 120" _ 4‘ t W,....,._ ‘ 1t) 7 , , - m L/L 3L jam 0) At ' (94% ‘ ‘9 ‘‘‘‘ . (’6'?ka :3; 0 1c." «a > € 5 5 f 6W 7 jMMth = 34% :348)» W/ 0 5(25%) a) Find the rrns value for the periodic waveform shown below. f(t) t --------------- -- 'L if 1’ ‘9 IL 4‘ F 1- £53“le (592cm 413 aura Jr QJC'WHWM‘5 f v 0 ' . s “ 1. l7" ' M T 2 0 ‘ l L q 7’ . .l ‘4 eodi 4’1 b '9"; e 4017019105 -; 25130133 4’ {a \$30.“ (I “(29% \$000” 1’ L 5333 w [/l/ a?) " . 7 v7- ,L 80 r 3 '2 ‘L/‘i" (i i oil 00 +000”: ’ = Hit/00 Hz "' ' 1%»; \0+ 9 42L “(6033: g a )4 n 4%) gm: :65§§ lFrMQ ’ b) The coefﬁcients for the exponential Fourier series for the waveform are given by: cw? . T!” - _ D” = 67002 sinﬂ e""’2 for riggdandpositive D: 3—;- \$1M, L§)'§Z'(' n'ﬂ' 3 (5361,” Find the THD for the waveform. I e (. 7 I , W rm; - g 4 a 0-00” ’° TWD ' 2» “De il / 343%}? 2 (524” {L7 . . " “M m 4‘) J; 4 “iii; 6(10%) Find the F ouner transform for the following function: [EC “’ a-fjw ' ' 1 kc» Sm f0) = 2050) +15 + 3e‘2'u(t) I my 20+ 'S(z<rW+ “an? _ r \$10 + 5G4)” Sign) + 1 ...
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This note was uploaded on 02/09/2010 for the course EE 313 taught by Professor Cardwell during the Spring '07 term at University of Texas.

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ee313_exam1_fall2002 - ma ft/o‘/’ BB 313 Midterm Quiz...

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