EE 40 - Spring 2004 - Sanders - Midterm 1 solutions

EE 40 - Spring 2004 - Sanders - Midterm 1 solutions -...

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Unformatted text preview: EECS40 Spring 2004 Midterm Exam # 1 March 2, 2004 Time Allowed: 90 minutes Name: ., Last First Student ID #:____ , Signature:____,_____.___ Discussion Section: This is a closed-book exam, except for use of one 8.5 x 11 inch sheet of your notes. Show all your work to receive full or partial credit. Write your answers clearly in the spaces provided. Problem #: EE40_rm l_SD4.fm 0 0 Figure 1(a) a) (2 points) In the circuit shown in Figure 1(a), the independent source values and resistances are known. Given the indicated reference potential, list the unknown node poten- tials in the circuit of Figure 1(a). V}, VQ EEdflwmt l_504.fm b) (8 points) Write down a complete set of node equations sufficient to solve for the node poten— tials you listed in part (a). Do not solve! Write your node equations in the box below. EE40_mtl_SOd.fm c) (2 points) How many meshes would be required to solve the circuit of Figure 1(a) by the mesh analysis method? (:1) (8 points) Figure 1(d) In the circuit of Figure 1 (d), the independent source values and resistances are known. Use the node voltage method to write three equations sufficient to solve for the node potentials Va, Vb, and V0. Write your equations in the box below. Do not solve! EEMLmt l_304.fm \! Figure 2(a) a) (10 points) Determine the Thevenin equivalent circuit for the circuit in Figure 2(a). Hint: superposition. Write your answer in the box at the bottom of the page. t VA VII 2 V‘ ‘21: RFsz R} P Jr ‘ {2 v5 R 'i i V’ V2 1 L L L 2 -H2 L ‘2' P2 VI; 1 pl 1 We?! 1111121 WLT‘Vrfi/z fV3= I2. EE40_mt l _304 . fm b) ( 10 points) Network #1 W Figure 2(b) V: fill/‘1 "1" V44”, Frown #iflvwc, HIV/h [:1: o , V;er :5? V‘H‘lltzv Fhrn ptfim when Cghvthn/E-o :> 42,=2KJ“‘- when 92:0 , u= W? W”“"’ when CHM, V120 => 12;: mm, was [mil ~2x/ E540_mll_504.fm One-port Networks #1 and #2 are interconnected as shown in Figure 2(b). Each of the one—port networks in Figure 2(b) is characterized by its indicated v-i graph. Determine the Thevenin equivalent network and the Norton equivaient networks for the one-port network shown in the figure by accessing the circuit at the tenni- nals labeled a and b. Write your answer in the box below. MA \ V+L :7 VHF- Vawt er: 2V + (~W) = i \/ V+|n 1V 1 = ———» : f“ 2 —~ A I“ Ran aka. gh EEwrmtl _504.fm 3) -VSS = Figure 3 The op—amp in Figure 3 is ideal. The figure shows a temperature sensor modeled as a temper— ature-controlled current source. This device senses absolute temperature TA in the (°K) Kelvin scale and delivers a current kTA, where k z 1 HAWK . a) (5 points) Determine the output voltage as a function of temperature TA(°K) in terms of the circuit parameters. A; 1+ H: unflah‘ue QLkbaok, We koala) VA :vh:\/P:o ( virtml short) I?“ :0 V {#me oPe/h) (Nu-Hie KCL e‘pmst“m in» we» A; O—V 0"Vo 9‘ + E540,mt l_SD4.fm b) (5 points) Determine values for R1 and R2 so that the output voltage sensitivity is 100 mV/°K and the output is zero volts at 300 °K . Write your answer in the box below. cWo -————— 2 : \/ OFTA kRz WOW“ t2: [Why/K _ lwmvk o 2- " W T— k JIM/K [ fl‘ TA2300K I V0.20 v0: K227}, a Eévgg => 0: {Wm/K; i gmw _ if my :2 [OVx EAT 3: gov P; P. “"3 a 3; (Watt I2!— 5 2 “mg—- 2 %3/<p_ EEAO_mt1_SO-4.fm ...
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