Ex1_f10_Solutions - EEL 3111C Test 1 - February 17, 2010...

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Unformatted text preview: EEL 3111C Test 1 - February 17, 2010 Closed note, closed book —- One (1) 3 by 5 index card allowed Last Name First Name - Answer all parts of all five (5) questions a Show all work - Two (2) hour time limit PROBLEM 1 (5 points each) (a) State the voltage divider rule: *" V " I *3 . ——w~——Wt_— VF ; In. _ RI I72, 4 4V - l s I ' Vi 1 L H— l A -7 )1- (b) State the Maéimum Power Transfer Theorem: Tn E ‘ V; : EL M11. PM L) ‘21, \ZL : RTH c “fl | g 6 l. ‘6 M A circuit analyzed via mesh analysis yielded the following system of equations. Find mesh current i2. 10 7 9 2 i1 2*‘v‘.c,v_.,_£tul_z 01/ 20 2 0 30 i3 ‘ [2 = : L : L MA circuit analyzed using nodal yields the nodal matrix shown. Is it possible to determine by examining the matrix whether or not the circuit containd controlled sources? Why or why not? i 10 5 —3 —7 V1 WW) 0 =—3 10 —12"/V2 \W" - ' ' K —10 —7 Cilcf, 15 V3 - ' 7L. ~ :WLU Test 1 — Version A Page 1 PROBLEM 2 (20 points) Two electric circuits are connected as shown with voltage and current as indicated. For each of the following sets of numerical values, state whether power is flowing from A to B or from B to A. (5 points each) Power Flow: A —> B or = A? i = 5 Amps ' = - 8 Amps i= 16 Amps Test 1 — Version A Page 2 CC) \“fiK/L. VIM—A 3‘ 3 “If 7/ Tr @- 3: gtvw PROBLEM 3 (20 points) For the circuit shown with the nodes numbered as given write the nodal equations. Express your answer by completing the matrix provided. J”? T (-—i+%)\}3 1. \/q V3 Test 1 — Version A Page 3 10;;‘le 4%F(t(1‘r{\¢)~l ’3’(/(¢_)1”5> 3’ Al. L- o: PROBLEM 4 (20 points) For the circuit shown with the mesh currents indicated write the mesh equations. Express your answer by completing the matrix below. (a; '*' .-L2):’Q . . \_ wk is M PyLIK'JQF—iNZcLA-‘t 5) ( 209@O;3L3\Lokgtpmixflttfltebhoi). $.25”: I0 -2; 915’ “'5/ :J_ I] <3 {0 _ ; i c 0 i2 h,th L _ o —i§ [Li ~20 i3 we _0_ S” i :2: H5” 1'4 1xr'VLI Lz-LIEIO gag/va is JUL: M—s' M H’Uz - M: ) M NH 4814.12. Test 1 - Version A Page 5 PROBLEM 5 (20 points) For the circuit below, Fto is adjusted so that it absorbs maximum power. What is the value of R0? M \M T' «fng-V3“ \ LL I -20 1.1: Y3.“ “‘— — .I: VL_\’13 1- 3—5—1. + :1; ‘7’ ‘ M I ._ i : L(]—E_)Vi(i-—i)\/ ti‘ : ' 2o V w T«=”2/2-~=V/2 ' 2 ’° 1/ j” " O ‘ ~ §\l gee V1‘V3:IHI%: i _ .24“ Vi Va—dL + V3‘-\(-g_ k‘v'j __ ' , {——T " -—-- _;J r— —O 1:"— w I ‘+ I 2. 3 I . ‘_ n [L \V I“. _ I I L . \ ‘ -_;, J ‘ - ' . - V\£H‘F)HI3L’LJ'E) dot 2—) H GMT w. I have abided by the University Honor Code: ‘ t r" I - Signature END OF EXAM EXAM GRADE: m Test 1 - Version A Page 7 ...
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Ex1_f10_Solutions - EEL 3111C Test 1 - February 17, 2010...

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