Answers to Odd-Numbered Problems
|
|
- Lesley Cameron
- 5 years ago
- Views:
Transcription
1 Answers to Odd-Numbered Probems CHAPTER.. (a) m;.8 m northward and.4 m eastward; (c).8944 m a x + a y + a z Traveing wave progressing in the negative z-direction.. (a) Linear; circuar; (c) eiptica.. Eiptica poarization a x - 5a y + a z >5; 6 4a x + 4a y + a z dz 4a x - a y > 7 x + y + z = constant v- ya x + xa y 5 cos vt p P mg.555q a P x + a y + a z N/C p P a i i > a y i = 4 * - 7 p P 5 5 a a i = j = - 4 i j > a z m >4p a.5. (a).4485 * - 6 sin p * 7 t a x A/m * - 8 df = ; df = m sin p * 7 t A 4p I I dx dy a x.9. (a) 5 * - 5 m >p a z ; m Ia z - v B 4a y + 7a z z 4
2 44 Answers to Odd-Numbered Probems CHAPTER >6 4n - - e - ;.85,.9,.7,.7 n - e - >n e - >n.... 6p A.5. - B bv a x + a - b x a sin vt - B bv a B bv n x + x x + a - b cos vt x B v sin vt.. (a) ; I - I.5. J J a r for r 6 a and for r 7 a, where r is the radia distance from the axis; r direction circuar to the axis of the wire.7. (a) I>4 ; I> C.. r r>p for r 6 a and r a >P r for r 7 a, where r is the radia distance from the center of the charge, and direction radiay away from the center of the charge A p > CHAPTER.... z vb sin vt a x (a) za x + xa y + ya z ;.5. * - 7 cos 6p * 8 t - p z a y Wb/m B = - vm P E z cos vt a y E = - v m P E z4 sin vt a x E = cos 6p * 8 t - p z a x B = - 7 cos 6p * 8 t - p z a y.. J a + za y for - a 6 z 6, J a - za y for 6 z 6 a, otherwise.. Cur wi have a component in the y-direction in addition to the x-component.5. Cur has ony a z-component
3 (a) x + y + z ;.. (a) - xa z, y; - a z, ; (c), ; (d),.. x - a a ap x for - a 6 x 6 a, otherwise.5. (a) and (c).7. # r =.9. # AS A ds = p, # A =.. CHAPTER 4 Answers to Odd-Numbered Probems (a). A; ; (c). A 4.. (a). cos vt A;. sin vt A; (c).88 sin vt + 45 A 4.5. (a) ;.68 cos vt a y for z = ;; ;.5 cos vt a y for z = ; t - zm corresponds to a wave; t + zm P P + corresponds to a - wave For Probem 4., E x = h J S t < zm for z and P 4.. Spacing = >4; ampitudes = J S, phase difference = p > J S; 4.. (a) right circuar; eft circuar E 4.5. cos vt + bz a x - sin vt + bz a y AC A# d = for any C r J a a y for z 6 - a, - J a z + z a b a y for - a 6 z 6, - J a z - 6 z 6 a, - J a a y for z 7 a - r a>p a x for x 6 - a, r x>p a x for - a 6 x 6 a, r a>p a x for x 7 a C = h J S H y = ; E x h for z E =.h cos 6p * 8 t < p z +.5h for z H = ; E x h a y for z + E cos vt + bz a x + sin vt + bz a y 4.5 E ccos a p * 8 t - + sin a p * 8 t - cos p * p z +.48p b a x p z +.48p b a y d z a b a y for 8 t < 4p z4a x
4 46 Answers to Odd-Numbered Probems 4.9. (a) Same as in Figure 4.7, except dispaced to the eft by ms; 75.4 V m for n - > 6 ƒ z ƒ 6 n and V/m for n - 6 ƒ z ƒ 6 n - >, n =,,,... ; (c).z> ƒ z ƒ A/m for n - 6 ƒ z ƒ 6 n - > and -.z> ƒ z ƒ A/m for n - > 6 ƒ z ƒ 6 n, n =,,, mv/m CHAPTER (a).74 * - 4 V/m,.74 * - 6 V,.74 * - 5 Æ;.857 * - 4 V/m,.857 * - 6 V,.857 * - 5 Æ; (c) 5 V/m,.5 V, 5 Æ * - 9 s 5.5. (a) * - 7 sin p * 9 t A; * - 6 sin p * 9 t A; (c) * - 5 sin p * 9 t A 5.7. (a) P E (4a x + a y + a z ); 8P E (a x + a y + a z ); 5.9. (c).5e (a x - a y - a z ) * - 6 sin p z A H y 5.. z = g H y Np/m, * - rad/m,.5 * 8 m/s,.5 m, (6. + j8.5) Æ 5.7. ƒeƒ B a >m,.75 * - 8 A-m E =.76e <.44z cos a p * 6 t <.976z + p 8 b a x for z H = ;.5e <.44z cos (p * 6 t <.976z) a y for z m,.97:, 9 out of phase 5.. (a) MHz; 5 m; (c).5 * 8 m/s; (d) 4P ; (e) 6p cos(6p * 7 t -.4p z) a y A/m 5.. (a) Same as in Figure 4.7; 75.4 V/m for (n - >) 6 z 6 n and V/m for (n - ) 6 z 6 (n - >), n =,,, Á ; (c).6z> z A/m for (n - ) 6 z 6 (n - >) and -.z> z A/m for (n - >) 6 z 6 n, for n =,,, Á 5.5. (a). Np/m, 8.7 rad/m,.54 * 8 m/s,.54 m, 4.5 Æ; p * - Np/m, p * - rad/m, 7 m/s, m, p ( + j) Æ 5.7. E (4a x + a y - 6a z ), H (4a x - a y ) P Yes
5 p cos px sin p * 9 t a y ; (c) sin p * p 9 t a z on both sheets 5.7. (a) 4; 6; (c) 4> CHAPTER xa x + ya y + za z (a) yza x + zxa y + xya z x + y + z ; (5a x + a y + 4a z ) Q>p P 6.9. V = p P a [ - 4 (i - i = ) + y ] - > E = p P a [ - 4 (i - ) + ] - > a y - > 4P V 6.. (a) - ; 9d a x d b kx 6.. V = - 6P + kd x 8P for - d 6 x 6 d P (d - t) +P (t - x) 6.5. (a) V P (d - t) +P t for 6 x 6 t, D E E E r = - E cos (vt + bz) a x, H r = E h cos (vt + bz) a y E = E sin vt sin bz a x, H = E h [J S ] z = = E h P (d - x) P (d - t) +P t V for t 6 x 6 d P (d - t) P (d - t) +P t V ; m m m + m a i = d b w cos vt a x (c) P P w P (d - t) +P t Answers to Odd-Numbered Probems 47 cos vt cos bz a y [r s ] x = =, [r s ] x = d = 4P V d 6.9. Y in = jv Pw equivaent circuit is a series combination of d a + v mp b; C = Pw d and md L, where L = w
6 48 Answers to Odd-Numbered Probems 6.. Z in = jvmd jvms a - b; equivaent circuit consists of an inductor L in w parae with a resistor R where L = md>w and R = d>sw 6.. (a) p cos (p * 6 t -.p z) V;.5 cos (p * 6 t -.p z) A; (c).5p cos (p * 6 t -.p z) W 6.9. =.49m, c =.P, g =.s; exact vaues are.49m,.855p, and.855s, respectivey 6.. m, 9P, 9s 9 CHAPTER (a) =.78 * - 6 H/m, g = 4.54 * - 6 S/m; (5.7 + j) Æ 7.. V (z) = A cos bz, Ī(z) = - j A sin bz; Z in = - jz Z cot b 7.5. (a).686 m;.586 m 7.7. (a) 5 Æ; 8.9 V,.76 A 7.9. (a) 8 m/s; 6 m, * - 6, j.79 Æ; m,, ; 8m,.5, q (a) (c) 8 P i 6 P i; 6 P i; Æ -.5 S,.667.4, (a) 4 V for z 6 6 m, otherwise; otherwise; A for 6 z 6 m, - A for - 8 m 6 z 6, (c) for 6 t 6. ms, 4 V for t 7. ms; (d) for 6 t 6. ms, - A for t 7. ms 7.. (a) 6 V, A; 67.5 V,.9 A; (c) V,. A [V ] t =. m s V 6 (a) z, m 8 [I] t =.4 m _ s A z, m [V ] z = m V [I] z = 4 m A 4..4 t, ms..5 t, ms (c) (d)
7 Answers to Odd-Numbered Probems V, V t ms.5 I, A t ms.5 z.5 9 z (a) [V ] z,v 4 t, ms (c) V 7.. (a) 4 V for - 6 z 6 ; - A for - 6 z 6, A for 6 z 6 ; * - 6 J; (c) Votage across 6 Æ =4 V for 6 t 6 ms, V for 6 t 6 ms, otherwise;votage across Æ =4 V for 6 t 6 ms, otherwise; (d) * - 6 J 7.. [V] z, V [V] z, V t t 7.5. (a) 8.4 Æ; 48.4 Æ CHAPTER p (a x + a y ) a x + a y (a) Yes; a z 4p (a y - a z ) cos [6p * 7 t -.p (y + z)]
8 44 Answers to Odd-Numbered Probems 8.7. (a) 8 m, 4 m (a x + a z ); 8.9. cm MHz, 54 MHz (a).kv,.44kv ; kv, kv ; (c).kv,.88kv TE,, TE,, TE,, TE,, and TM, 6.5 cm,.5 cm MHz (TE,,, TE,, ), 4. MHz (TE,,, TM,, ), 559. MHz (TE,,, TE,,, TE,,, TE,, ) 8.5. (a) 4.8 ; CHAPTER p cos p *. 7 t A 9.7. (a).57 * - V/m; W 9.. (D R rad )>(D R rad ) W 9.9. (a) E u =- hbli sin u sin (vt - 8p r R rad = p (L>), D = p 4, cos a p 4 cos c - p 8 b TE, mode; sin p x sin a p t * 8 m/s E r = -.76E a y cos [6p * 8 t + p (x - z)] E t =.884E a y cos [6p * 8 t - p (x + z)] 75.5 cos a p cos cb ` cos c cos a p 4 cos c - p 4 b ` 8p zb a y R rad =.5 Æ, 8P rad 9 =.7546 W br), H f = E u h ; 9.7. ccos a p cos ubdnsin u, where u is the ange from the vertica, D = V A
9 CHAPTER Answers to Odd-Numbered Probems 44.. (a) 5 * 8 m/s; 5 m; (c) db.. (a) K f V >T for T 6 t 6.T,- K f V >T for.4t 6 t 6.5T, otherwise K b V V (, t).t.4t.5t T T.T.4T.5T t K b V (c) V (.8, t) K b V.8T.9T T.T.T.6T.7T t K b V.. (a) -.K b V (z>) for.9 6 z 6 ; K b V for 6 z 6.9, K b V ( - z>) for.9 6 z 6 ; (c) K b V for 6 z 6.9, K b V ( -.z>) for.9 6 z 6.5. =-.5, t = (a).654 * - V/m; R rad =.677 * - Æ, 8P rad 9 =.4 W APPENDIX A A.. A.. A.5. A.7. APPENDIX B - a x + a y + a z Equa -, a z a r + 6a z B.. (a) - sin f a z, cos f;, except at r = ; (c) except at r =, B.. r r a r r b + r f + z B.5. (a) - r (sin u a r - cos u a u ); cos u a r - sin u a u
Elmo Servo Drives. Information Sheet for Crimson v2.0. Compatible Devices. Elmo Servo Drives using SimplIQ. Verified Device BAS-3/230-3
Elmo Servo Drives Information Sheet for Crimson v2.0 Compatible Devices Elmo Servo Drives using SimplIQ Verified Device BAS-3/230-3 Accessible Data Command Description Type Notes -- Motion Commands...
More informationTechTest2017. Solutions Key. Final Edit Copy. Merit Scholarship Examination in the Sciences and Mathematics given on 1 April 2017, and.
TechTest07 Merit Schoarship Examination in the Sciences and Mathematics given on Apri 07, and sponsored by The Sierra Economics and Science Foundation Soutions Key V9feb7 TechTest07 Soutions Key / 9 07
More informationAppendix 5-1: Attachment J.1 Pricing Table -1: IMS Ceiling Loaded Rates at Contractor Site
Appendix 5-1: Attachment J.1 Pricing Table -1: IMS Ceiling Loaded Rates at Contractor Site Escalation rate 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 0001 AA01 Administrative Assistant Level I $51.00
More informationOPAL-RT FIU User Guide.
OPAL-RT FIU User Guide www.opal-rt.com Published by Opal-RT Technologies, Inc. 1751 Richardson, suite 2525 Montreal, Quebec, Canada H3K 1G6 www.opal-rt.com 2013 Opal-RT Technologies, Inc. All rights reserved
More informationIndustrial Isolated Converters
ICD120A ICD140A Product Data Sheet Industrial Isolated Converters ICD120A Features Suitable for use in Class 1, Division 2, Groups A, B, C, and D Hazardous Locations, or Nonhazardous locations only. Easy
More informationSPARE CONNECTORS KTM 2014
SPAREPARTSCATALOG: // ENGINE ART.-NR.: 3208201EN CONTENT CONNECTORS FOR WIRING HARNESS AA-AN CONNECTORS FOR WIRING HARNESS AO-BC CONNECTORS FOR WIRING HARNESS BD-BQ CONNECTORS FOR WIRING HARNESS BR-CD
More informationTOM S RIVER. N. J. APRIL 1, 1857.
P b J [ J ) --------- J P 857 7 c < ( v v k k ( Ì k \ bv F í xbk ( v c c< k v J 4? 9 b (b bx c c í c c k c c b k Ö ) c ( b c ck b é P c // k ( cà ( k kc ( b b v #> b Ü) v # k # v [ vb b c< c b c v b b
More informationSMF Transient Voltage Suppressor Diode Series
SMF Transient Voltage Suppressor Diode Series General Information The SMF series is designed specifically to protect sensitive electronic equipment from voltage transients induced by lightning and other
More information22ND CENTURY_J1.xls Government Site Hourly Rate
Escalation rate 000 AA0 Administrative Assistant Level I 000 AA0 Administrative Assistant Level II 000 AB0 Application Engineer Level I 000 AB0 Application Engineer Level II 000 AC0 Application Programmer
More informationPTS/Data Highway Interface Software User s Manual
PTS/Data Highway Interface Software User s Manual February 1997 MAN527 Contents 1. Introduction 1 2. Program Functions 2 3. Programming 3 3.1 General 3 3.2 Register Size 3 3.3 Files and Messages 3 3.4
More informationminutes/question 26 minutes
st Set Section I (Multiple Choice) Part A (No Graphing Calculator) 3 problems @.96 minutes/question 6 minutes. What is 3 3 cos cos lim? h hh (D) - The limit does not exist.. At which of the five points
More informationSPAREPARTSCATALOG: CONNECTORS SPARE CONNECTORS KTM ART.-NR.: 3CM EN
SPAREPARTSCATALOG: CONNECTORS ART.-NR.: 3CM3208201EN CONTENT SPARE CONNECTORS AA-AN SPARE CONNECTORS AO-BC SPARE CONNECTORS BD-BQ SPARE CONNECTORS BR-CD 3 4 5 6 SPARE CONNECTORS CE-CR SPARE CONNECTORS
More informationhttps://support.industry.siemens.com/cs/ww/en/view/
Support Packages for TIA Portal V13 March 2018 https://support.industry.siemens.com/cs/ww/en/view/72341852 Siemens Industry Online Support This entry is from the Siemens Industry Online Support. The general
More informationNovint Falcon. Novint Falcon Novint Falcon Novint Falcon. Novint Falcon Daniel J. Block et al., licensee Versita Sp. z o. o.
Novint Falcon 1,, 3, Novint Falcon Novint Falcon Novint Falcon Novint Falcon Novint Falcons 13 Daniel J. Block et al., licensee Versita Sp. z o. o. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs
More informationCurves, Tangent Planes, and Differentials ( ) Feb. 26, 2012 (Sun) Lecture 9. Partial Derivatives: Signs on Level Curves, Tangent
Lecture 9. Partial Derivatives: Signs on Level Curves, Tangent Planes, and Differentials ( 11.3-11.4) Feb. 26, 2012 (Sun) Signs of Partial Derivatives on Level Curves Level curves are shown for a function
More informationTM3DI16 module TM3-16 inputs
Characteristics module TM3-16 inputs Main Range of product Product or component type Range compatibility Jun 30, 2018 Modicon TM3 Discrete input module Modicon M241 Modicon M251 Modicon M221 Discrete input
More informationTM3DI16G module TM3-16 inputs spring
Characteristics module TM3-16 inputs spring Main Range of product Product or component type Range compatibility Modicon TM3 Discrete input module Modicon M221 Modicon M241 Modicon M251 Discrete input number
More information2 Unit Bridging Course Day 10
1 / 31 Unit Bridging Course Day 10 Circular Functions III The cosine function, identities and derivatives Clinton Boys / 31 The cosine function The cosine function, abbreviated to cos, is very similar
More informationMatrix Transformations The position of the corners of this triangle are described by the vectors: 0 1 ] 0 1 ] Transformation:
Matrix Transformations The position of the corners of this triangle are described by the vectors: [ 2 1 ] & [4 1 ] & [3 3 ] Use each of the matrices below to transform these corners. In each case, draw
More informationConstruction. Quality Products. Service Excellence.
1485 Series - NEMA 12 www.hammondmfg.com Application Designed to enclose and protect electrical wiring from dirt, dust, oil and water. All sections and fi ttings are completely open on each side to allow
More informationTransformations. Write three rules based on what you figured out above: To reflect across the y-axis. (x,y) To reflect across y=x.
Transformations Geometry 14.1 A transformation is a change in coordinates plotted on the plane. We will learn about four types of transformations on the plane: Translations, Reflections, Rotations, and
More informationTM221ME32TK controller M IO transistor PNP Ethernet
Product data sheet Characteristics TM221ME32TK controller M221 32 IO transistor PNP Ethernet Complementary Main Discrete I/O number 32 Number of I/O expansion module Supply voltage limits Inrush current
More informationMultiple Plane Phase Retrieval Based On Inverse Regularized Imaging and Discrete Diffraction Transform
Mutipe Pane Phase Retrieva Based On Inverse Reguaried Imaging and Discrete Diffraction Transform Artem Migukin, Vadimir Katkovnik, and Jaakko Astoa Department of Signa Processing, Tampere University of
More informationCentroid Principles. Object s center of gravity or center of mass. Graphically labeled as
Centroids Centroid Principles Object s center of gravity or center of mass. Graphically labeled as Centroid Principles Point of applied force caused by acceleration due to gravity. Object is in state of
More informationTM3DM8R module TM3-8 IO relays
Karakteristik module TM3-8 IO relays Price* : 1459700,00 IDR Main Range of product Product or component type Range compatibility 23 Jul 18 Modicon TM3 Discrete I/O module Modicon M241 Modicon M251 Modicon
More information;/ *. 7 &9*R . C 2 <0* # "2 <AC (:* "' < %)V AB C. Downloaded from qjal.smtc.ac.ir at 23: on Sunday May 13th 2018
( - ) 1394 @R$ 8 %& b ;/ *. 7 1393/12/18 1394/2/28 :6# :G"#a 2 "V*D 1 AB C &9*R "' : > ; *$ id: 0* :6 i: > (:* 0 > ' # *,2 T# "? 0 > # "5 EOAB N*> # "5 UA;
More informationThe diagram above shows a sketch of the curve C with parametric equations
1. The diagram above shows a sketch of the curve C with parametric equations x = 5t 4, y = t(9 t ) The curve C cuts the x-axis at the points A and B. (a) Find the x-coordinate at the point A and the x-coordinate
More informationTM221M16R controller M IO relay
Product data sheet Characteristics TM221M16R controller M221 16 IO relay Complementary Main Discrete I/O number 16 Number of I/O expansion module Supply voltage limits Inrush current Power consumption
More informationChapter Ten. Volumes and Surface Areas of Simple Solids
Capter Ten Voumes and Surface Areas of Simpe Soids We ook at o to cacuate te areas and perimeters of many geometric figures in te ast capter. As you get farter advanced in mat, you find cases ere you need
More informationSOLUTIONS TO CONCEPTS CHAPTER 18
SOLUTIONS TO CONCEPTS CHPTER 8 SIGN CONVENTION : ) The direction of incident ray (from object to the mirror or lens) is taken as positive direction. ) ll measurements are taken from pole (mirror) or optical
More informationClick on the SwCAD III shortcut created by the software installation.
LTSpice Guide Click on the SwCAD III shortcut created by the software installation. Select File and New Schematic. Add a component Add a resistor Press R or click the resistor button to insert a resistor.
More informationModbus Module. Data sheet. Communication module for MULTICAL 403 and MULTICAL 603
Data sheet Modbus Module Communication module for MULTICAL 403 and MULTICAL 603 Modbus RTU communication Communication speed up to 115200 bits/s Programmable data, communication speed and parity settings
More informationTape & Reel Packaging For Surface Mount Devices. Date Code Marking:
Tape & Reel Packaging For Surface Mount Devices Automation of surface-mount assembly by the use of pick-and-place equipment to handle tiny components has been enhanced by evolutionary improvements in tape-and-reel
More informationGanit Learning Guides. Basic Geometry-2. Polygons, Triangles, Quadrilaterals. Author: Raghu M.D.
Ganit Learning Guides asic Geometry-2 Poygons, Trianges, Quadriateras uthor: Raghu M.. ontents GEOMETRY... 2 POLYGONS... 2 Trianges... 2 Quadriateras... 10 asic-geometry2 1 of 17 2014, www.earningforkowedge.com/gg
More informationTM221CE40T controller M IO transistor PNP Ethernet
Product data sheet Characteristics TM221CE40T controller M221 40 IO transistor PNP Ethernet Complementary Main Discrete I/O number 40 Number of I/O expansion module Supply voltage limits Inrush current
More informationCHAPTER 3, FORM E TRIGONOMETRY Choose the best answer. NAME DATE. Do not use a calculator for problems 1-11.
CHAPTER, FORM E TRIGONOMETRY Choose the best answer. NAME DATE Do not use a calculator for problems 1-11. 1. Which of the following describes the measures of 1. all angles that are coterminal with the
More informationTM221M16TG controller M IO transistor PNP spring
Characteristics controller M221 16 IO transistor PNP spring Main Range of product Product or component type [Us] rated supply voltage Discrete input number Analogue input number Discrete output type Discrete
More informationDATA SHEET DEPRECATED - PCM5 1. Document no.: N/A
DATA SHEET DEPRECATED - PCM DEIF A/S Frisenborgvej DK-800 Skive Tel.: +4 64 64 Fax: +4 64 6 info@deif.com www.deif.com Document no.: N/A AWC 00 PCM data sheet - DEPRECATED. AWC 00 system. System specifications...
More informationLines and Angles. introduction
9 Lines and nges intrductin In cass VI, you have earnt soe basic concepts and ters of geoetry point, ine, pane, ine segent, ray, ange and types of anges. In this chapter, we sha earn about soe pairs of
More informationTM221M32TK controller M IO transistor PNP
Characteristics controller M221 32 IO transistor PNP Main Range of product Product or component type [Us] rated supply voltage Discrete input number Analogue input number Discrete output type Discrete
More informationINSTRUCTION MANUAL TRIP CIRCUIT SUPERVISION RELAY GKAD1
INSTRUCTION MANUAL TRIP CIRCUIT SUPERVISION RELAY GKAD1 TOSHIBA Corporation 2004 All Rights Reserved. ( Ver. 1.6 ) Safety Precautions Before using this product, please read this chapter carefully. This
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 9 4 95570362* ADDITIONAL MATHEMATICS 4037/12 Paper 1 May/June 2010 Additional Materials: Answer Booklet/Paper
More informationTeSys contactors From 115 to 2750 A
Selection guide From to 0 A Applications Control of all types of motor for standard or severe duty applications Control of resistive, inductive and capacitive circuits: heating, lighting, cos j rectification,
More informationSAFETY LIMIT SWITCHES
- 75 - SAFETY LIMIT SWITCHES Quality certifications As ever watchful for quality, since 1998, Comepi is qualified ISO 9002 thus offering its domestic and foreign interlocutors a deeper warranty of its
More informationAP1000 European 1. Introduction and General Description of the Plant Design Control Document
AP1000 European 1. Introduction and General Description of the Plant Design Control Document 1.7 Drawings and Other Detailed Information 1.7.1 Electrical and Instrumentation and Control Drawings Instrument
More informationContents. MATH 32B-2 (18W) (L) G. Liu / (TA) A. Zhou Calculus of Several Variables. 1 Homework 1 - Solutions 3. 2 Homework 2 - Solutions 13
MATH 32B-2 (8) (L) G. Liu / (TA) A. Zhou Calculus of Several Variables Contents Homework - Solutions 3 2 Homework 2 - Solutions 3 3 Homework 3 - Solutions 9 MATH 32B-2 (8) (L) G. Liu / (TA) A. Zhou Calculus
More informationP1 REVISION EXERCISE: 1
P1 REVISION EXERCISE: 1 1. Solve the simultaneous equations: x + y = x +y = 11. For what values of p does the equation px +4x +(p 3) = 0 have equal roots? 3. Solve the equation 3 x 1 =7. Give your answer
More information5200/7200 Fall 2007 Concurrence theorems for triangles
5200/7200 Fall 2007 Concurrence theorems for triangles There are two basic concurrence theorems for triangles that hold in neutral geometry, that of medians and of angle bisectors, but it seems hard to
More informationLecture 7 Measurement Using a Single Camera. Lin ZHANG, PhD School of Software Engineering Tongji University Fall 2016
Lecture 7 Measurement Using a Single Camera Lin ZHANG, PhD School of Software Engineering Tongji University Fall 2016 If I have an image containing a coin, can you tell me the diameter of that coin? Contents
More informationGEOMETRIC TRANSFORMATIONS AND VIEWING
GEOMETRIC TRANSFORMATIONS AND VIEWING 2D and 3D 1/44 2D TRANSFORMATIONS HOMOGENIZED Transformation Scaling Rotation Translation Matrix s x s y cosθ sinθ sinθ cosθ 1 dx 1 dy These 3 transformations are
More informationTrio Application Control System Instruction Sheet
Trio Application Control System Instruction Sheet P/N 7580708_01 CAUTION The procedures detailed within this guide should only be performed by trained Nordson personnel or by persons cleared to do so by
More informationTransformations. Prof. George Wolberg Dept. of Computer Science City College of New York
Transforations Prof. George Wolberg Dept. of Coputer Science City College of New York Objectives Introduce standard transforations - Rotations - Translation - Scaling - Shear Derive hoogeneous coordinate
More informationIndustrial Wireway & Trough
308 Lay-In Wireway 1485 Series - NEMA 12... 310-319 Wiring Trough 1486 Series - NEMA 12... 320 Pull Through Wireway 1487 Series - NEMA 12... 322-328 309 1485 Series Lay-In Wireway - NEMA 12 Lay-In Wireway
More informationMATH 116 REVIEW PROBLEMS for the FINAL EXAM
MATH 116 REVIEW PROBLEMS for the FINAL EXAM The following questions are taken from old final exams of various calculus courses taught in Bilkent University 1. onsider the line integral (2xy 2 z + y)dx
More informationTM3AI4 module TM3-4 analog inputs
Characteristics module TM3-4 analog inputs Main Range of product Product or component type Range compatibility Analogue input number 4 Analogue input type Complementary Analogue input resolution Permissible
More informationOPTICAL MOUSE SENSOR
OPTICAL MOUSE SENSOR NST TECHNOLOGIES Series Datasheet USB INTERFACE Version 1.16 1 1. Description is a low-cost CMOS optical sensor SOC for USB optical computer mouse. It provides an all-in-one solution
More informationRoland AC Adapter Compatibility Guide
Roland AC Adapter Compatibility Guide A-30/33/37 ACA-120 A-300PRO A-500PRO A-500S A-800PRO AC-2/3 PSA-120 AC-33 PSB-12U X AD-3/8 PSA-120 AD-5 ACF-120 AF-70 BRC-120 X AR-100/200 ACI-120 X ASC-10 PSA-120
More informationtext2reach2 SMS API Sep 5, 2013 v1.1 This document describes application interface (API) between SMS service provider (SP) and SMS gateway (SMSGW).
text2reach2 SMS API Sep 5, 2013 v1.1 This document describes application interface (API) between SMS service provider (SP) and SMS gateway (SMSGW). Table of Contents API Interface Types...3 Bulk SMS interface...3
More informationDETAIL SPECIFICATION SHEET
INCH-POUND MIL-DTL-55302/128D 18 April 2013 SUPERSEDING MIL-DTL-55302/128D 4 June 2004 DETAIL SPECIFICATION SHEET CONNECTORS, PRINTED CIRCUIT SUBASSEMBLY AND ACCESSORIES: RECEPTACLE, DOUBLE ROW, 4 THROUGH
More informationOPTICAL MOUSE SENSOR
OPTICAL MOUSE SENSOR NST TECHNOLOGIES Series Data sheet USB INTERFACE Version 1.50 1. Description is a low-cost CMOS optical sensor SOC for USB optical computer mouse. It provides an all-in-one solution
More informationTM200CE24T controller M IO transistor Source+ Ethernet
Product datasheet Characteristics TM200CE24T controller M200 24 IO transistor Source+ Ethernet Main Range of product Product or component type [Us] rated supply voltage Discrete I/O number 24 Discrete
More informationNPort W2150A/W2250A Series
NPort W2150A/W2250A Series 1 and 2-port serial-to-wi-fi (802.11a/b/g/n) device servers with wireless client Features and Benefits Links serial and Ethernet devices to an IEEE 802.11a/b/g/n network Web-based
More informationSafety Standards. Model Number:
065APS12 B Highlights & Features Safety Approvals to IEC 60601-1 3.1rd ed. & IEC 60950-1 Compliant with IEC 60601-1-2 4th Ed. Requirements Low touch current (
More informationTopic 6: Calculus Integration Volume of Revolution Paper 2
Topic 6: Calculus Integration Standard Level 6.1 Volume of Revolution Paper 1. Let f(x) = x ln(4 x ), for < x
More informationSafety Standards. Model Number:
040APS15 B Highlights & Features Safety Approvals to IEC 60601-1 3.1rd ed. & IEC 60950-1 Compliant with IEC 60601-1-2 4th Ed. Requirements Low touch current (
More informationTM3TI8T module TM3-8 inputs temperature
Characteristics module TM3-8 inputs temperature Main Range of product Product or component type Range compatibility Analogue input number 8 Analogue input type Complementary Analogue input resolution Input
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *0569484449* ADDITIONAL MATHEMATICS 4037/ Paper May/June 017 hours Candidates answer on the Question Paper. No Additional Materials are required.
More informationTM221CE24R controller M IO relay Ethernet
Product data sheet Characteristics TM221CE24R controller M221 24 IO relay Ethernet Complementary Main Discrete I/O number 24 Number of I/O expansion module Supply voltage limits Network frequency Inrush
More informationTM221CE40R controller M IO relay Ethernet
Characteristics controller M221 40 IO relay Ethernet Main Range of product Product or component type [Us] rated supply voltage Jan 6, 2019 Modicon M221 Logic controller 100...240 V AC Discrete input number
More informationCharacteristics Control stations and enclosures 0 Double insulated control stations, for control circuits
Characteristics Contro stations and encosures 0 Environment Conformity to standards IEC 947-5-1, EN 60 947-5-1, IEC 337-1, NF C 63-0, VDE 0660-200 Product certifications Standard version DEMK, NEMK, SÄHKÖTARKASTUSKESKUS,
More informationCHAPTER 4 RAY COMPUTATION. 4.1 Normal Computation
CHAPTER 4 RAY COMPUTATION Ray computation is the second stage of the ray tracing procedure and is composed of two steps. First, the normal to the current wavefront is computed. Then the intersection of
More informationChapter 5 Partial Differentiation
Chapter 5 Partial Differentiation For functions of one variable, y = f (x), the rate of change of the dependent variable can dy be found unambiguously by differentiation: f x. In this chapter we explore
More informationTM241CEC24R controller M IO relay Ethernet CAN master
Characteristics controller M241 24 IO relay Ethernet CAN master Main Range of product Product or component type [Us] rated supply voltage Nov 28, 2017 Modicon M241 Logic controller 100...240 V AC Discrete
More informationINTRODUCTION TO THREE DIMENSIONAL GEOMETRY
Introduction to Three Dimensiona Geometry 33 INTRODUCTION TO THREE DIMENSIONAL GEOMETRY You have read in your earier essons that given a point in a pane, it is possibe to find two numbers, caed its co-ordinates
More informationCNCtak.com CNCtak.com CNCtak.com
1 User Guide for 4 axis TB6560 driver board เป นส นค าจากประเทศจ น ท ม จ ดเด นของ DRIVER BOARD ของ Toshiba TB6560AHQ chip ตามรายละเอ ยด Block Diagram Toshiba TB6560AHQ chip Product Features: 1.Toshiba
More informationPhysics 212 Spring 2009 Final Exam Version B (872413)
Physics 212 Spring 2009 Final Exam Version B (872413) Question 1 2 3 4 5 6 7 8 9 10 Instructions Be sure to answer every question. Follow the rules shown on the first page for filling in the Scantron form.
More informationCitrusCom CS0806U. Features. Applications. Mechanical Characteristics. Description. Circuit Diagram. Pin Configuration
Features Transient protection for high-speed data lines IEC 1000--2 (ESD) ±1kV (Air) ±8kV (Contact) IEC 1000-- (EFT) 0A (/0 ns) Cable Discharge Event (CDE) Small package (2.9mm 2.8mm 1.mm) Protects four
More informationGRADE 12 MATHEMATICS LEARNER NOTES
SENIOR SECONDARY,059(0(7 PROGRAMME 0 GRADE LEARNER NOTES The SSIP is supported by c) Gauteng Department of Education, 0 TABLE OF CONTENTS LEARNER NOTES SESSION TOPIC Revision of Analytical Geometry (Grade
More informationTM3TI4 module TM3-4 inputs temperature
Characteristics module TM3-4 inputs temperature Main Range of product Product or component type Range compatibility Analogue input number 4 Analogue input type Complementary Analogue input resolution Permissible
More informationControlNet-to-DeviceNet Linking Device
Installation Instructions ControlNet-to-DeviceNet Linking Device Catalog Number 1788-CN2DN Topic Page Important User Information 2 About the CN2DN Linking Device 7 Parts List 8 Required System Components
More informationSafety Standards. Model Number:
100APS24 B Highlights & Features Safety Approvals to IEC 60601-1 3.1rd ed. & IEC 60950-1 Compliant with IEC 60601-1-2 4th Ed. Requirements Low touch current (
More informationTM3TI4 module TM3-4 inputs temperature
Characteristics module TM3-4 inputs temperature Complementary Analogue input resolution Permissible continuous overload Input impedance LSB value Conversion time Sampling duration Main Range of product
More informationwhile its direction is given by the right hand rule: point fingers of the right hand in a 1 a 2 a 3 b 1 b 2 b 3 A B = det i j k
I.f Tangent Planes and Normal Lines Again we begin by: Recall: (1) Given two vectors A = a 1 i + a 2 j + a 3 k, B = b 1 i + b 2 j + b 3 k then A B is a vector perpendicular to both A and B. Then length
More informationSolutions to the Final Exam
CS/Math 24: Intro to Discrete Math 5//2 Instructor: Dieter van Mekebeek Soutions to the Fina Exam Probem Let D be the set of a peope. From the definition of R we see that (x, y) R if and ony if x is a
More informationMAC2313 Final A. a. The vector r u r v lies in the tangent plane of S at a given point. b. S f(x, y, z) ds = R f(r(u, v)) r u r v du dv.
MAC2313 Final A (5 pts) 1. Let f(x, y, z) be a function continuous in R 3 and let S be a surface parameterized by r(u, v) with the domain of the parameterization given by R; how many of the following are
More informationDirectional Derivatives and the Gradient Vector Part 2
Directional Derivatives and the Gradient Vector Part 2 Lecture 25 February 28, 2007 Recall Fact Recall Fact If f is a dierentiable function of x and y, then f has a directional derivative in the direction
More informationControl relays. K mini-control relays. Conforming to standards IEC/EN , , NF C , VDE 0660 UL, CSA, DEMKO, NEMKO, SEMKO
Characteristics Environment Conforming to standards IEC/EN 0947-1, 0947-5-1, NF C 3-140, VDE 00 Approvals UL, CSA, DEMKO, NEMKO, SEMKO Vertical axis Horizontal axis Operating position 180 Without derating
More informationMA EXAM 2 Form 01 April 4, You must use a #2 pencil on the mark sense sheet (answer sheet).
MA 6100 EXAM Form 01 April, 017 NAME STUDENT ID # YOUR TA S NAME RECITATION TIME 1. You must use a # pencil on the mark sense sheet (answer sheet).. On the scantron, write 01 in the TEST/QUIZ NUMBER boxes
More informationTM3DI8A module TM3-8 inputs 120V AC
Karakteristik module TM3-8 inputs 120V AC Price* : 1459700,00 IDR Main Range of product Product or component type Range compatibility 21 Jul 18 Modicon TM3 Discrete input module Modicon M221 Modicon M241
More informationDDR4 Module Part Numbering System The part numbering system is available at
DDR4 Module Part Numbering System DDR4 SDRAM modules MT A 36 A SF 2G 72 P Z - 2G3 A 1 Product Family A = DDR4 SDRAM Printed Circuit Board Revision Die Revision (up to 2 characters) DDR4 SDRAM Module Speed
More informationTrig Practice 09 & Nov The diagram below shows a curve with equation y = 1 + k sin x, defined for 0 x 3π.
IB Math High Level Year : Trig: Practice 09 & 0N Trig Practice 09 & Nov 0. The diagram below shows a curve with equation y = + k sin x, defined for 0 x. The point A, lies on the curve and B(a, b) is the
More informationTM241CEC24T. Main. 14 (remote I/O architecture) W with max number of I/O expansion module ma fast input. 2.
Product datasheet Characteristics TM241CEC24T Main Range of product Product or component type [Us] rated supply voltage Discrete input number Discrete output type Discrete output number Discrete output
More information79C Megabit (512k x 8-bit) EEPROM MCM FEATURES DESCRIPTION: 79C0408. Logic Diagram
79C48 4 Megabit (512k x 8-bit) EEPROM MCM CE 1 CE 2 CE 3 CE 4 RES R/B WE OE 79C48 A -16 128K x 8 128K x 8 128K x 8 128K x 8 I/O -7 Logic Diagram FEATURES Four 128k x 8-bit EEPROMs MCM RAD-PAK radiation-hardened
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
E. McGann LA Mission College Math 125 Fall 2014 Test #1 --> chapters 3, 4, & 5 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate
More informationUpgrading from MICRO/MIDIMASTER 2 to MICRO/MIDIMASTER 3
The new MICRO/ Vector range is designed to replace the existing MICRO/ in most applications without changing parameter settings, mounting arrangements, etc. In some cases the new (standard) range will
More informationTopic 6: Parallel and Perpendicular
Topic 6: Parallel and Perpendicular for use after The Shapes of Algebra Investigation 2 In the diagram below, lines O, m, n, and p are parallel lines. The other two lines are transversals. Angles ACI and
More informationXB4BW73731B5 green flush/red projecting illuminated doubleheaded pushbutton Ø22 1NO+1NC 24V
Product data sheet Characteristics XB4BW73731B5 green flush/red projecting illuminated doubleheaded pushbutton Ø22 1NO+1NC 24V Product availability : Stock - Normally stocked in distribution facility Price*
More informationTM3TM3 module TM3-2 temperature inputs and 1 analog output
Characteristics module TM3-2 temperature inputs and 1 analog output Main Range of product Product or component type Range compatibility Analogue input number 2 Analogue input type Analogue output number
More informationDEFINING CORRESPONDING IDENTICAL TUFTS IN COLOCAL GENERAL COLINEAR FIELDS UDC (045) Sonja Krasić
FACTA UNIVERSITATIS Series: Architecture and Civi Engineering Vo. 2, N o 1, 1999, pp. 23-30 DEFINING CORRESPONDING IDENTICAL TUFTS IN COLOCAL GENERAL COLINEAR FIELDS UDC 514.752.5(045) Sonja Krasić Facuty
More informationPLC I/O wiring. PLC power supply cable and general control circuit wiring. Power lines. Ground to 100 Ω or less
Wiring Methods Section 3-5 PC I/O wiring ow-current cables PC power supply cable and general control circuit wiring Power lines Control cables Power cables 300 mm min. 300 mm min. Ground to 100 Ω or less
More information