ECE 110/Spring 2013/Test 1

This page contains the DRAFT 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 2013 test will be very similar to the instructions on the front of the Fall 2012 test. Furthermore, the following problems from other classes' tests are relevant:

• TBD

Test I Spring 2013 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 accurate 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 or branch current method to determine mesh or branch currents, possibly followed by functions of those currents to get element currents, voltages, or powers.
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. Reactive elements
    1. Be able to represent a circuit with reactive elements in the DC Steady State
    2. Be able to determine a model equation for circuits comprised of R, C, and sources or R, L, and sources
    3. Be able to find the closed form solution for a circuit that can be modeled as a first-order linear differential equation with a constant forcing function and some means for determining a value for the unknown variable at some time
    4. Be able to accurate sketch the solution to such a problem

Specifically Not On The Test

1. Maple
2. MATLAB
3. Transistors (unless model is also given)