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ECE 202 Fall 2007 Homework No. 11, Assignments of Microelectronic Circuits

Michigan State University (MSU)Microelectronic Circuits

Instructions and problems for homework no. 11 in ece 202 (electrical circuits ii) for the fall 2007 semester. The homework includes various circuit analysis problems involving phasor domain analysis, power calculations, and finding impedances. Students are required to draw diagrams, find currents and voltages, and calculate complex powers and power factors.

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Pre 2010

Uploaded on 07/23/2009

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ECE๎˜ƒ202๎˜ƒ(Fall๎˜ƒ2007)๎˜ƒ
Homework๎˜ƒNo.๎˜ƒ11๎˜ƒ
Due:๎˜ƒWednesday,๎˜ƒ12/5/2007๎˜ƒ
๎˜ƒ
Instructions:๎˜ƒ๎˜ƒDraw๎˜ƒa๎˜ƒbox๎˜ƒaround๎˜ƒto๎˜ƒindicate๎˜ƒeach๎˜ƒanswer.๎˜ƒ๎˜ƒFailure๎˜ƒto๎˜ƒdo๎˜ƒso๎˜ƒwill๎˜ƒcost๎˜ƒyou๎˜ƒ2๎˜ƒpts๎˜ƒper๎˜ƒ
offence.๎˜ƒ
๎˜ƒ
Total๎˜ƒ=120๎˜ƒpts๎˜ƒ
๎˜ƒ
(P.1)๎˜ƒ[10๎˜ƒpts]๎˜ƒSolve๎˜ƒProblem๎˜ƒ15โ€4๎˜ƒin๎˜ƒtext.๎˜ƒ
(P.2)๎˜ƒ[10๎˜ƒpts]๎˜ƒSolve๎˜ƒProblem๎˜ƒ15โ€12๎˜ƒin๎˜ƒtext.๎˜ƒ๎˜ƒCalculate๎˜ƒthe๎˜ƒinput๎˜ƒresistance๎˜ƒas๎˜ƒseen๎˜ƒinto๎˜ƒthe๎˜ƒprimary๎˜ƒinput๎˜ƒ
terminals๎˜ƒof๎˜ƒthe๎˜ƒtransformer.๎˜ƒ๎˜ƒExpress๎˜ƒyour๎˜ƒresults๎˜ƒin๎˜ƒthe๎˜ƒtime๎˜ƒdomain.๎˜ƒ
(P.3)๎˜ƒ[26๎˜ƒpts]๎˜ƒThe๎˜ƒcoils๎˜ƒin๎˜ƒFigure๎˜ƒ1๎˜ƒhave๎˜ƒL1๎˜ƒ=๎˜ƒ40๎˜ƒmH,๎˜ƒL2๎˜ƒ=๎˜ƒ5๎˜ƒmH,๎˜ƒand๎˜ƒa๎˜ƒcoupling๎˜ƒcoefficient๎˜ƒk๎˜ƒ=๎˜ƒ0.6.๎˜ƒ๎˜ƒThe๎˜ƒ
signals๎˜ƒare๎˜ƒv1(t)๎˜ƒ=๎˜ƒ10๎˜ƒcos(ฯ‰t)๎˜ƒV,๎˜ƒ๎˜ƒi2(t)๎˜ƒ=๎˜ƒ2๎˜ƒsin(ฯ‰t)๎˜ƒA,๎˜ƒand๎˜ƒฯ‰๎˜ƒ=๎˜ƒ2000๎˜ƒrad/s.๎˜ƒ
(a)[14]๎˜ƒUsing๎˜ƒ๎˜ƒthe๎˜ƒgiven๎˜ƒvalues,๎˜ƒdraw๎˜ƒand๎˜ƒclearly๎˜ƒlabel๎˜ƒthe๎˜ƒphasor๎˜ƒdomain๎˜ƒequivalent๎˜ƒcircuit๎˜ƒ
(similar๎˜ƒto๎˜ƒthat๎˜ƒgiven๎˜ƒin๎˜ƒthe๎˜ƒbottom๎˜ƒof๎˜ƒp.15๎˜ƒin๎˜ƒCh.๎˜ƒ15๎˜ƒof๎˜ƒthe๎˜ƒcourse๎˜ƒnotes,๎˜ƒbut๎˜ƒwith๎˜ƒs =๎˜ƒjฯ‰).๎˜ƒ๎˜ƒ๎˜ƒ
(b)[12]๎˜ƒFind๎˜ƒi1(t)๎˜ƒand๎˜ƒv2(t).๎˜ƒ
๎˜ƒ
Figure๎˜ƒ1๎˜ƒCircuit๎˜ƒfor๎˜ƒProblem๎˜ƒ2๎˜ƒ
๎˜ƒ
(P.4)๎˜ƒ[13๎˜ƒpts]๎˜ƒFind๎˜ƒI1๎˜ƒand๎˜ƒI2๎˜ƒin๎˜ƒthe๎˜ƒcircuit๎˜ƒof๎˜ƒFigure๎˜ƒ2๎˜ƒand๎˜ƒexpress๎˜ƒyour๎˜ƒanswers๎˜ƒin๎˜ƒpolar๎˜ƒform.๎˜ƒCalculate๎˜ƒ
the๎˜ƒpower๎˜ƒabsorbed๎˜ƒby๎˜ƒthe๎˜ƒ4โ€ฮฉ๎˜ƒresistor.๎˜ƒ
๎˜ƒ
Figure๎˜ƒ2๎˜ƒCircuit๎˜ƒfor๎˜ƒProblem๎˜ƒ3๎˜ƒ
pf2

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Download ECE 202 Fall 2007 Homework No. 11 and more Assignments Microelectronic Circuits in PDF only on Docsity!

ECE 202 (Fall 2007)

Homework No. 11

Due: Wednesday, 12/5/

Instructions: Draw a box around to indicate each answer. Failure to do so will cost you 2 pts per offence. Total =120 pts (P.1) [10 pts] Solve Problem 15 โ€ 4 in text. (P.2) [10 pts] Solve Problem 15 โ€ 12 in text. Calculate the input resistance as seen into the primary input terminals of the transformer. Express your results in the time domain. (P.3) [26 pts] The coils in Figure 1 have L 1 = 40 mH, L 2 = 5 mH, and a coupling coefficient k = 0.6. The signals are v 1 (t) = 10 cos(ฯ‰t) V, i 2 (t) = 2 sin(ฯ‰t) A, and ฯ‰ = 2000 rad/s. (a)[14] Using the given values, draw and clearly label the phasor domain equivalent circuit (similar to that given in the bottom of p.15 in Ch. 15 of the course notes, but with s = jฯ‰). (b)[12] Find i 1 (t) and v 2 (t). Figure 1 Circuit for Problem 2 (P.4) [13 pts] Find I 1 and I 2 in the circuit of Figure 2 and express your answers in polar form. Calculate the power absorbed by the 4 โ€ฮฉ resistor. Figure 2 Circuit for Problem 3

(P.5) [16 pts] A 110 โ€V rms, 60 โ€Hz source is applied to a load impedance, Z. The apparent power entering the load is 120 VA at a power factor of 0.707 lagging. (a) Calculate the complex power. (b) Find the rms current supplied to the load. (c) Determine Z. (d) Assuming that Z has the form Z = R + jฯ‰L, find values of R and L. (P.6) [18 pts] For the following voltage and current phasors, calculate the complex power, apparent power, real power, reactive power, and the power factor. Specify (and explain briefly why) whether the pf is leading or lagging. (a) V = 220 ืก30ยฐ V rms, I = 0.5 ืก60ยฐ A rms (b) V = 250 ืกโˆ’10ยฐ V rms, I = 6.2 ืกโˆ’ 25 ยฐ A rms (P.7) [15 pts] Solve Problem 16 โ€ 27 in text. (P.8) [12 pts] Solve Problem 16 โ€ 36 in text. (For part (b), express the total complex power in rectangular form.)