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HW10T_Sol_17_F11

# HW10T_Sol_17_F11 - ORANGE COUNTRY HOMEWORK SET 10 ORANGE...

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Unformatted text preview: ORANGE COUNTRY HOMEWORK SET 10 ORANGE COUNTRY Q Q) ‘0 Phys 21 14 Instructor: Professor Bandy F all 201 l a. A 111 Hz source of emf has a peak voltage of 50 V. Draw the emf phasor at 3.0 ms. b. Draw the phasor for the emf a = (170 V) cos((27rx60Hz)t) at t = 60 ms. The peak current through a capacitor is 10.0 mA. What is the current if: a. the emf ﬁequency is doubled? h. the emf peak voltage is doubled (at the original frequency)? c. the frequency is halved and, at the same time, the emfis doubled? a. A high-pass RC ﬁlter with a crossover frequency of 1000 Hz uses a 100 .Qresistor. Calculate the value of the capacitor. 1). A low-pass RC ﬁlter with a crossover frequency of 1000 Hz uses a 100 .(2 resistor. Calculate the value of the capacitor. A 500 uH inductor is connected across an AC generator that produces a peak voltage of 5.0 V. a. At what frequency f is the peak current 50 mA? b. What is the instantaneous value of the emf at the instant when iL = IL? (Note: lower case 1' represents instantaneous current) a. What inductor in series with a 100 .0 resistor and a 2.5 ,uF capacitor gives a resonance frequency of 1000 Hz? b. What capacitor in series with a 100 [2 resistor and a 20 7711-1" inductor gives a resonance frequency of 1000 Hz? cl A resistor dissipates 2.0 ﬁsts/hen the rms voltage of the emf is 10.0 V. At what rms voltage will the resistor dissipate 10. 0 91\$ 3. What is the peak current supplied by the emf in Fig. l. b. What is the peak voltage across the 3 uF capacitor? c. Replace each capacitor with a resistor as in Fig. 2 and double £0 . What is the average power supplied by the emf and what is the energy dissipated by each resistor? a. A damped LC ciICuit consists of a 0.15 ,uF capacitor and a 20 mH inductor with resistance 1.6 .Q How many cycles will the circuit oscillate before the peak voltage on the capacitor drops to half its initial value? b. A damped RLC circuit includes a 5.0 Qresistor and a 100 mH inductor. If half the initial energy is lost after 15 cycles, what is the capacitance? Figure 3 shows a rectangular loop of wire immersed in a nonuniform and varying magnetic ﬁeld E that is perpendicular to and directed into the page. The ﬁeld’s magnitude is given by B : 412x2 , with B in Tesla, tin seconds and x in meters. The loop has width w = 3. 0 m and height h = 2.0 m. Calculate the magnitude and direction of the induced emf 5 around the loop at t =0.10 s. 200 Q Figure 1 Figure 2 @ p ,lr’zngwzadP Xi?” M 7-: /// .5, r 5, v .1 ._ (L; C‘ ‘ a. \ ’ ’ ( III .2) 5/: 5 J G. bid/are-» ".1~’°~ :- ~ 7 1 f ‘ {3/45 M x ,- - 2 1,, , L. L : J6“ E r :0 L" {l J (L) L - L J , \ L’.‘ 1;: -— ‘9“ jay/3., ,\ if " < ”1‘ .1. \} If 7 v 1' -‘ ”l k / ‘ < ’ . '5 ‘ «r , ,, / , 2 042 mm :1" 7“ 1': as ‘/ Lid f“, .~ ‘-' L - a. , . Lk / E 3 WV 0% H 9' l, «‘31- ‘ I (5- ' ' ‘ I {LL 1/ , . i ' ’ ( 5’ . ‘ . '- . Lita; } ‘ ’ ~’- ~ a’a/na J 3 ’9 9 .1 __ - //‘ a. f. I ‘ 96L“- “ -——l; C; («9/35 ." via/LU)? 7'5 30 f/ a (2 _ f) "n ’ — '. L L/ ‘ D{ Liar» “ﬁning/Si L . - ' r “ '1: [1 ., l V“ »‘ ,1 / 1/ ”“34” AM J? :1” L; h-zccﬁr \ _ L ‘ .——-——-——\ M a L. . V)“ M _ 3' ... ‘P D l 1 ‘\ D )g L (3 I _, J 1‘ \_ > x. U \‘l L— x‘ \ \ .\ \ k; ‘ I g x [\ b k.— w ..,. I. g, .L, ) 3% H (3 /\ f} N 8 x.../ (I (XS: S L 1 (\x -.\ ( 5.! J 3;. C" P ‘1 p ,L \. ('3 /"\ \l / \ ‘3 LL/ 1 N ! xx} 1 a ‘1’ 2-5:: m 7";- ”A. C. I : CG 'C' 5"“? UL \ L: ; r; [(31 my} ,1; \ i' .:‘ ’5’ .. £1] ® ~ -00 ~ AC ézwfaerT—vmm w/ (FL-tram v T [Ix/l * ' 5 ‘ . LL. _«.-- L. , _ ,4 ’3’ __.. Z WK (. C. (k. . @ pkg-{j {<1 ‘~ ~‘-(1{"1’ﬁ§ - ‘ﬁ/‘M—lf ‘11!" '2 {Lif- €70 C 9:? ~er ‘ K': \ h‘ S (f! -» v "‘3'. W”me r 5,“ LOL— 9753wa M) ‘j: 2511;: [3?)(5'owﬂ)(ﬁaa/JH L...“- L. “,3 a: L ‘ _ K, n. VL LL QLM ruff- v 5 r» v GM (Lam 32/9 1:; a“; \m «5 11/90 sang»: / 4 .’ f~ r ,, “7' I?" {I "5‘ 4WD“ f V- “Ty"; 41“ z';~./ h»? ("f 1" «HJ ‘- . ﬂ. ' " 1..."; 23,-) ,4 __ ,1 / r1) téfﬁ/x/ f”: r «av-*— ...
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HW10T_Sol_17_F11 - ORANGE COUNTRY HOMEWORK SET 10 ORANGE...

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