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Example Questions for Final Exam - Circuits, Devices, and Systems | THTR 2, Exams of Theatre

Material Type: Exam; Class: PERF GLOBAL CONTEXT; Subject: Theater; University: University of California - Santa Barbara; Term: Winter 2009;

Typology: Exams

Pre 2010

Uploaded on 09/17/2009

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koofers-user-l1i 🇺🇸

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Department of Electrical & Computer Engineering ECE 2B
University of California, Santa Barbara Summer 2009
Shynk
H.O. #21
EXAMPLE FINAL EXAM
INSTRUCTIONS
1. This exam is open book and open notes. You may use a calculator.
2. It consists of 3 problems and is worth a maximum of 90 points. The problems are of equal
worth but not of equal difficulty, so use discretion in allocating your time. Answer all questions
in any order.
3. Show your answers in the spaces provided, and use the back side of the exam pages if you
need additional work space. Show your reasoning and the essential steps clearly and
concisely.
Last Name, First Name:
Scores:
1.
2.
3.
Total:
1
pf3
pf4

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Department of Electrical & Computer Engineering ECE 2B University of California, Santa Barbara Summer 2009 Shynk H.O. #

EXAMPLE FINAL EXAM

INSTRUCTIONS

  1. This exam is open book and open notes. You may use a calculator.
  2. It consists of 3 problems and is worth a maximum of 90 points. The problems are of equal worth but not of equal difficulty, so use discretion in allocating your time. Answer all questions in any order.
  3. Show your answers in the spaces provided, and use the back side of the exam pages if you need additional work space. Show your reasoning and the essential steps clearly and concisely.

Last Name, First Name:

Scores:

Total:

Summer 2009

  1. S-DOMAIN CIRCUIT ANALYSIS (30 points)

Assume there is no energy in the following RLC circuit before the switch closes at t = 0. (a) Find an expression for the s-domain current I(s) through the 3 kΩ resistor. (b) Specify the type of second-order circuit and sketch the poles and zeros on the s-plane. (c) Use the initial- and final- value theorems to find the currents iL(0+) and iL(∞) through the inductor. (c) From a partial fraction expansion of I(s), find an expression for i(t) for t ≥ 0.

1 k Ω 3 kΩ

2 H

t = 0

1 mA 1.6 μF i(t)

Solution:

Summer 2009

  1. FREQUENCY-SELECTIVE CIRCUIT ANALYSIS (30 points)

A parallel RLC circuit has the following transfer function:

H(s) =

(L/R)s LCs^2 + (L/R)s + 1

with R = 500 Ω, L = 4/3 H, and C = 1 μF. (a) Find the center frequency ωo and the cutoff frequencies ωc 1 and ωc 2. (b) Specify the filter bandwidth B and the quality Q for this circuit. (c) Find the poles and zeros of the transfer function and sketch a Bode diagram of the frequency response.

Solution: