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GENE123MS02P - University oi Waterloo University Of...

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Unformatted text preview: University oi Waterloo % University Of Waterloo Department of Electrical and Computer Engineering rME/GENE 123: ELECTRICAL ENGINEERING Midterm Examination 8’02 June 7, 2002 Name: . SO \VHCDU VID #:' ‘ E t Date & Time: June 7‘“, 2002, 4:00-6:00 PM instructors: Cathy Gebotys Ehab El—Saadany Ramadan ElShatshat instructions: '1— Answer all Five questions. 2- The examination is a closed book. ‘ 3- _The marking scheme is shown in the right margin of each question. 4— Electronic calculators are allowed. 5- Clearly, show all steps used in solution. No marks will be given for numerical results unless accompanied with correct solution method. 6- Work done in pencil will not considered for remarking. 7— Use correct Si units in all your answers. VME/GENE123 Midterm, S_02 Question 1: 7A set of charges is arranged as shown in the figure 1 below. a) Compute the electrostatic force acting on each charge in the system. b) What is the electric field magnitude and direction at point A? c) What is the electric potential at point A, assuming zero potential at w? d) What is the magnitude and sign of the work required to move a charge of 10 from point A to point B. 6) Is more, less or the same work required if the 1C charge is moved from A to B along the path A—~>B or the path A—>O——>C—>B? V[25marks] ’Y (-1.1) o B (0.1) A Q: c 0:1 0 0:3 c o— —« *‘ * X c O D (-1.0) (0.0) (1-0) lb = H avg}; Figuret . 3 5. c 0‘ 1‘ N F'C : q* ‘0 [ 2:1 L'A) .1. 1*3 LA\3 7: q‘§*'b L-A') ’l a)" r . q I‘ . r ’ ‘0 r 5 7N 1'0‘ “tat-i0 C 231‘ (i) + ‘33 L0] 3 45* w U) l i 7" a , ‘ ‘0 77-? .’ ‘1) 1 on“? [73.3 613+ ”*3 04)] = Lt-oSauo U) M q \ 7E= K 3. . . . (I , ‘ . a. 7 ‘ |. 1‘ i Sv14’SL'J)] E :°l*rD [+(J)+é)zanSLJ>+ LR)! ~ 7' E7 : S-Szmg 3 We VME/GENE123 Midterm, s_02 Ex: EC Cos4s+ ED Losfl§ Io , ‘3 _z_ Cows + .3— wsnrs ;— 1—53 mo 2 'H L : C‘iHD [(5); CE)1 1 I 7 ‘D = E1+EZ ’: ‘-b‘13*\0 * ‘3 .2. + _ _ 3_ 7, , “ v VA : OHIO E ”W ‘ 4T, _ 7. b’SJHD od— , q , ' Z \ 3 , : 0 _ + ..—— ._ -_- ‘22 \(1 mm = Vol\:* 'ChamdL :. “BR-lacy :LUE- VR>*C\, ' <1 ' °1 - w :Qz-zq_2.ea)mo 9e 4 ’2 CLGINIO Jame. C9) Same modL SWIM; M 7‘s V‘¥&?wésw}—7c>n +ng Fork“. ’ME/GENE123 Midterm, s_02 , Question 2: 5 Ampere of current runs through a wire in the direction given by 0.5i+0.3j+0k. The wire is 55cm long and is located in a constant uniform magnetic field that is given by: -0.ii+0.3j+0.5k Tesla. Calculate the force on the wire due to the magnetic filed. AAA Show your force using only i,j,k units. [15marks] 7'3 , —> —> t' Z A, LXB 7—9 I C t l:— : 05% 0'55[(O-SA+o-3J)X(~o.lL+o-3J+a-S14>] .3)- Mates (4‘) : 0&QS[0.S*03‘4 +0'S-X-O‘gC . +o-3-X-D-S‘ (12):] : eyZ‘b‘Di; L _. 0.7.Sj +043 k] A '5 ' .' r L F ’: o'LiiZS/t —- o.éz?SJ +0ng VME/GENE123 Midterm, s_02 'Ouefll: For the circuit shown in Figure 2, all resistors are given in Ohms; a. Find the equivalent resistance seen by the supply b. Find the power in the source and the 100 resistor and state if it is delivered or absorbed [20 marks] V ME/GENE123 Midterm, S_02 M: k‘ : A‘u’at- 12 2 Io+D A2 : 0'5 A as mafi- VCEbSbszA>. rME/GENE123 Midterm, s_02 7 Question 4: Using KCL and KVL, find the voltage across the 120 resistor and the power absorbed by the 30 resistor in the circuit shown in Figure 3 below. Check the conservation of energy. ® '[20 marks] 120 VME/GENE123 Midterm, s_02 ' Question 5: Using Nodal analysis, find the voltage Vx in the circuit shown in Figure 4 below, All resistors are given in Ohms. KM. D Q) (SW—“35+ ”'9 fl 2 '5 to K“.— ®C§> §>+<wyfi>+kva vfl>+2 :0 20 S 4 :‘Rrpm U) sz ’+ 1V1 7— 2%) '+ “‘2’— 20 ~80 —0 %\),_-2\i3—<io ':0 '— B) VFWMLZW ' '40 U; +4V3—4V2+S\]3 -‘ ‘00 H2930 i0 \i3 — mil; %:0 ——m— (AA [20 marks] a) rME/GENE123 Midterm, s_02 From L3) 7> £30 “’3: = \o 5*: , .32? \J9\ \\ ’ \FX = \q “(7- ll ’Formula Sheet ...
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