ECE 110/Fall 2019/Test 1

This page contains the list of topics for ECE 110 Test 1. Post questions or requests for clarification to the discussion page.

Previous Tests

Previous ECE 110 tests are available at Dr. G's Big Box of Random. Note that the instructions on the front of the test will be very similar to the instructions on the front of the Spring 2018 test - HOWEVER, we will be using Gradescope so your answers will be put in a boxed section of the problem. See the Spring 2019 Mechatronics (EGR 224) Test I for more information. Also, some previous tests stopped before superposition and Thévenin-Norton whereas for Fall 2019 those topics are fair game. The following problems from other classes' tests are relevant:

• BME 153 Test 1
  • All but V
• ECE 61 Test 1 Spring 2001
  • All but V
• ECE 61 Test 1 Fall 2001
  • All but V
• EGR 119 Test 1 Spring 2008
  • I, II -- assuming you replace the reactive elements with resistors...
• EGR 119 Test 2 Spring 2008
  • I, IV
• EGR 119 Test 1 Spring 2009
  • All but V
• EGR 119 Test 1 Spring 2010
  • I, II, III
• EGR 119 Test 2 Spring 2010
  • II(1)
• EGR 119 Test 1 Spring 2011
  • All but V
• EGR 119 Test 1 Spring 2012
  • I, II, III
• EGR 224 Spring 2013 and beyond, generally
  • Test 1 as appropriate.

Test I Coverage

1. Digital Logic
   1. Be able to represent and interpret digital logic functions through the use of a digital logic function (of course), expansion by minors, truth tables, or Karnaugh maps
   2. Be able to simplify digital logic functions into minimum sum of products and minimum product of sums forms
   3. Be able to accurately draw a gated representation of a digital logic function using NOT gates and two-input AND and OR gates
   4. Be able to determine the complexity of a representation so drawn
2. Basic electrical entities - be able to fill in the following chart: \(\begin{align} \begin{array}{cccc} \mbox{Name} & \mbox{Variable} & \mbox{Units} & \mbox{Equation} \\ \hline \hline \mbox{charge} & q & \mbox{coulombs (C)} & q(t) = q(t_0) + \int_{t_0}^t i(\tau)~d\tau \\ \hline \mbox{current} & i & \mbox{amperes (A)} & i = \frac{dq}{dt} \\ \hline \mbox{work} & w & \mbox{joules (J)} & \\ \hline \mbox{voltage} & v & \mbox{volts (V)} & v = \frac{dw}{dq} \\ \hline \mbox{power} & p & \mbox{watts (W)} & p = \frac{dw}{dt} = vi \\ \hline \mbox{resistance} & R & \mbox{ohms}~(\Omega) & R = \frac{v}{i} \\ \hline \mbox{conductance} & G & \mbox{mhos}~(\mho) & \\ \hline \end{array} \end{align}\)
3. Power - know the general equation for instantaneous power absorbed or delivered by an element, and know three equations that can be used to calculate power in a resistive element. Know the difference between absorbed power and delivered power. Be able to solve circuit variables using the idea that net power in a circuit is zero.
4. Sources - know the four kinds of dependent source and the properties of sources (i.e. current sources can have any voltage across them and voltage sources can have any amount of current through them).
5. Ohm’s Law - know Ohm’s Law and the requirement of the passive sign convention for resistors.
6. Kirchhoff’s Laws - know what Kirchhoff’s Laws are, be able to state them clearly in words, and be able to apply them to circuit elements to solve for unknown currents and voltages.
7. Equivalent resistances - be able to simplify a resistive network with series and parallel resistances.
8. Node voltage method - be able to solve for voltages, currents, and power absorbed or delivered by clearly using the node voltage method to determine node voltages, possibly followed by functions of those node voltages to get currents or powers.
9. Current methods - be able to solve for voltages, currents, and powers absorbed or delivered by clearly using the mesh current method and/or the branch current method to determine mesh and/or branch currents, possibly followed by functions of those currents to get element currents, voltages, or powers. The problem must be solved with a current method, but you will be allowed to choose mesh or branch.
10. Current and Voltage division - be able to efficiently solve circuit problems by using current and voltage division.
11. Superposition - be able to efficiently solve circuit problems by using superposition.
    • In life, remember that dependent sources must be included in the different subdivisions of a superposition problem regardless of the independent source or sources you leave on. On the test however, the superposition problem -- if there is one -- will not have a dependent source.
12. Thévenin and Norton Equivalent Circuits - be able to solve for the source and resistance of a Thévenin or Norton Equivalent Circuit for a circuit comprised of independent and dependent sources and resistors. Be able to draw both Thévenin and Norton Equivalent Circuits. Be able to use Thévenin and Norton Equivalent Circuits to determine the maximum power delivered to a load and the required resistance of that load to receive the maximum power.

Specifically Not On The Test

1. Maple
2. MATLAB or Python
3. Reactive Elements
4. Pomegranates