Download Resistive Circuits - Introduction to Microelectronic Circuits - Exam and more Exams Microelectronic Circuits in PDF only on Docsity! EECS 40, Spring 2006 Prof. Chang-Hasnain Midterm #1 March 2, 2006 Total Time Allotted: 80 minutes Total Points: 100 1. This is a closed book exam. However, you are allowed to bring one page (8.5” x 11”), double-sided notes 2. No electronic devices, i.e. calculators, cell phones, computers, etc. 3. SHOW all the steps on the exam. Answers without steps will be given only a small percentage of credit. Partial credit will be given if you have proper steps but no final answers. 4. Draw BOXES around your final answers. 5. Remember to put down units. Points will be taken off for answers without units. 6. NOTE: µ = 10-6; k = 103; M = 106. Last (Family) Name: ________________________________________________ First Name:_______________________________________________________ Student ID:_______________________________________________________ Signature:________________________________________________________ Score: Problem 1 (20 pts) Problem 2 (30 pts) Problem 3 (50 pts) Total: Problem 1 (20 pts): Resistive Circuits and Capacitors (a) (5 pts) Find I7 in terms of Is (b) (5 pts) Find V1 in terms of Vs I7 Is R 7R + - R R R V1 Vs (b) (20 pts): t>2 s, what is iL(t)? + - - + 20 H iL 10 Ω 10 Ω 10 V 20 V VL + - t=0 t=2 Problem 3 (50 pts): For the circuit below: (a) (5 pts) What are vL and iL for t < 0? (Remember units!) (b) (10 pts) Use KVL/ KCL to show that the differential equation for vL(t) for t>0 is the following equation. Write enough steps to show you know the material. vL” + 2vL’ + vL = - 2sin(t) (c) (15 pts) Find the transient solution. What are α, ω0, and ξ? + - 1 MH iL 500 kΩ cos(t) 1 µF 5 V VL t=0 + - Problem 3 continued: (d) (5 pts) Is this critically damped, underdamped, or overdamped? (e) (10 pts) What is the particular solution? (f) (5 pts) What is the complete solution?
