hw4 sol ece2020 page 1 · 2018. 10. 25. · hw_4_sol page 1 . problem 1: determine vo/vs. the op...

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HW4 Solutions ECE2020 Autumn 2018 Problems encircled in red were graded Lessons Covered: Lesson8 ‐ Lesson12 Show all relevant steps. Don’t just write down the answers. Late HWs will not be accepted. Lecture Students: turn in your HW in class. Recitation students: turn in your HW at the ECE Office Front Desk. HWs turned‐in anywhere else will not be accepted. Show your work on these pages, attach additional pages if necessary. Be sure to organize the pages in order and staple them all together, otherwise you will lose one point Fill out the following section. You will lose an additional point if you fail to provide these details Your Last Name_____________________________ Your First Name__________________________ Lecture Student ____________ or Recitation Student__________ (check one) 1. If Recitation then fill out the following 2. Name of recitation instruction______________________ Date/time of recitation______________ Problems start from next page HW4_sol ECE2020 Page 1 HW_4_sol Page 1

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Page 1: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4 Solutions ECE2020 Autumn 2018Problems encircled in red were graded

Lessons Covered: Lesson8 ‐ Lesson12Show all relevant steps. Don’t just write down the answers.

Late HWs will not be accepted. Lecture Students: turn in your HW in class. Recitation students: turn in your HW at the ECE Office Front Desk. HWs turned‐in anywhere else will not be accepted. 

Show your work on these pages, attach additional pages if necessary.

Be sure to organize the pages in order and staple them all together, otherwise you will lose one point

Fill out the following section. You will lose an additional point if you fail to provide these details•

Your Last Name_____________________________   Your First Name__________________________

Lecture Student ____________ or Recitation Student__________ (check one)1.If Recitation then fill out the following2.Name of recitation instruction______________________ Date/time of recitation______________ 

Problems start from next page

HW4_sol ECE2020 Page 1

HW_4_sol Page 1

Page 2: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 1:  Determine vo/vs . The op amp is ideal.

HW4_sol ECE2020 Page 2

HW_4_sol Page 2

Page 3: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 2:   Determine vo/is and  iy/is. The op amp is ideal.

HW4_sol ECE2020 Page 3

HW_4_sol Page 3

Page 4: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 3:  Determine ix and iy. The op amp is ideal.

HW4_sol ECE2020 Page 4

HW_4_sol Page 4

Page 5: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 4:  Determine vo/vs and v2/vs. The op amp is ideal.

HW4_sol ECE2020 Page 5

HW_4_sol Page 5

Page 6: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 5:   Determine vo/vs. The op amps are ideal.

HW4_sol ECE2020 Page 6

HW_4_sol Page 6

Page 7: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 6:  Use mesh analysis to determine the differential equation that relates ic to iin for t > 0.

HW4_sol ECE2020 Page 7

HW_4_sol Page 7

Page 8: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 7:  Determine steady state vo(t). The op amp is ideal.

HW4_sol ECE2020 Page 8

HW_4_sol Page 8

Page 9: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4_sol ECE2020 Page 9

HW_4_sol Page 9

Page 10: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 8: Draw the Thevenin's equivalent in Phasor Domain for the circuit given below. The op amp is ideal.

HW4_sol ECE2020 Page 10

HW_4_sol Page 10

Page 11: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4_sol ECE2020

HW_4_sol Page 11

Page 12: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4_sol ECE2020

HW_4_sol Page 12

Page 13: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

Problem 9:  Use mesh analysis to determine ic in steady state.

HW4_sol ECE2020

HW_4_sol Page 13

Page 14: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4_sol ECE2020 Page 14

HW_4_sol Page 14

Page 15: HW4 sol ECE2020 Page 1 · 2018. 10. 25. · HW_4_sol Page 1 . Problem 1: Determine vo/vs. The op amp is ideal. HW4_sol ECE2020 Page 2 HW_4_sol Page 2 . Problem 2: Determine vo/isand

HW4_sol ECE2020 Page 15

HW_4_sol Page 15