EGR 224/Spring 2010/Test 1

The following is a work in progress. Post questions or requests for clarification to the discussion page.

DRAFT - Test I Spring 2010 Coverage

1. Basic electrical entities - be able to fill in the following chart: \(\begin{align} \begin{array}{cccc} \mbox{Name} & \mbox{Variable} & \mbox{Units} & \mbox{Equation} \\ \hline \hline \mbox{charge} & q & \mbox{Coulombs (C)} & q(t) = q(t_0) + \int_{t_0}^t i(\tau)~d\tau \\ \hline \mbox{current} & i & \mbox{Amperes (A)} & i = \frac{dq}{dt} \\ \hline \mbox{work} & w & \mbox{Joules (J)} & \\ \hline \mbox{voltage} & v & \mbox{Volts (V)} & v = \frac{dw}{dq} \\ \hline \mbox{power} & p & \mbox{Watts (W)} & p = \frac{dw}{dt} = vi \\ \hline \mbox{resistance} & R & \mbox{Ohms}~(\omega) & R = \frac{v}{i} \\ \hline \mbox{conductance} & G & \mbox{mhos}~(\mho) & \\ \hline \end{array} \end{align}\)
2. Power - know three equations that can be used to calculate power in a resistive element and 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.
3. 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).
4. Ohm’s Law - know Ohm’s Law and the requirement of the passive sign convention for resistors.
5. Kirchhoff’s Laws - know what Kirchhoff’s Laws are and be able to state them clearly in words.
6. Equivalent resistances - be able to simplify a resistive network with series and parallel resistances.
7. 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.
8. Branch current method - be able to solve for voltages, currents, and powers absorbed or delivered by clearly using the branch current method to determine branch currents, possibly followed by functions of those currents to get voltages or powers.
9. Mesh current method - be able to solve for voltages, currents, and powers absorbed or delivered by clearly using the mesh current method to determine mesh currents, possibly followed by functions of those currents to get branch 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 regardless of the independent source or sources you leave on. On the test, 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.