ELEC 105, Spring 2004
Prof. Rich Kozick

Homework 8


Date Assigned: Thursday, March 25, 2004
Date Due: Wednesday, March 31, 2004

  1. Please refer to Homework 7 for schedule changes in the next few weeks. Remember, no class on Friday, March 26.

  2. Reading: Continue studying sinusoidal steady-state analysis and frequency-selective circuits (filters) in Chapters 5 and 6, particularly Sections 5.1-5.4 and 6.1-6.4.

  3. Please solve the following problems at the end of Chapter 5 in the Hambley text.
    Problems 5.1, 5.12, and 5.13.

  4. Please solve the following questions on phasors and sinusoids.

    (a)
    For each sine wave, find the phasor representation (in polar form), and sketch the phasor in the complex plane.
    (i)
    $ 0.2 \cos ( 1000 t - 45^o ) $
    (ii)
    $ 7 \cos (10 t + 150^o) $

    (b)
    For each phasor, express the corresponding sine wave as a time function, and sketch the sine wave versus time. Assume $\omega = 2 \pi 100$ rad/sec.
    (i)
    $ \underline{v} = 7 \angle{0^o}$
    (ii)
    $ \underline{v} = 2 \angle{-90^o}$

    (c)
    Find the magnitude of each complex number below.
    (i)
    $ \underline{v}_1 = 1 + j1 $
    (ii)
    $ \underline{v}_2 = 3 - j4 $
    (iii)
    $ \underline{v}_1 + \underline{v}_2 $
    (iv)
    $ (\underline{v}_1) \cdot (\underline{v}_2) $

Thank you.