# Final Exam Instructional Objectives

# Exam Date: Tuesday, May 8, 8:00–11:00 AM in 1011 EB1.

These instructional objectives provide you with a guide for learning the course material. During the examination you should be able to:

## Chapter 2

- Define Ohm’s law.
- Use Ohm’s law to calculate current, resistance, or voltage.
- Identify independent and dependent sources in circuits.
- Identify the direction of current within a circuit.
- Identify the polarity of voltage drops across elements.
- Calculate the power absorbed or supplied by an element.

## Chapter 3

- Identify nodes within a circuit.
- Identify loops within a circuit.
- Define KCL and KVL.
- Use KCL and/or KVL to solve circuits.
- Identify and solve single-loop circuits.
- Identify and solve single-node-pair circuits.
- Identify and simplify series and parallel voltage and current sources.
- Identify and simplify resistors in series and parallel.
- Use voltage and current division to analyze circuits.

## Chapter 4

- Analyze a circuit using nodal analysis.
- Identify and use supernodes during nodal analysis.
- Analyze a circuit using mesh analysis.
- Identify and use supermeshes during mesh analysis.

## Chapter 5

- Use superposition to analyze a circuit.
- Use a source transformation to analyze a circuit.
- Calculate the Thevenin equivalent of a circuit.
- Calculate the Norton equivalent of a circuit.

## Chapter 6

- List and use the two “golden” rules.
- List the 5 characteristics of an ideal op-amp.
- Identify saturation.
- Design and analyze an inverting amplifier.
- Design and analyze a non-inverting amplifier.
- Design and analyze a comparator.
- Design and analyze a summing amplifier.
- Design and analyze a difference amplifier.
- Design and analyze a buffer/voltage follower/unity gain amplifier.
- Analyze op-amps that are cascaded.

## Chapter 7

- Calculate the current through a capacitor.
- Calculate the voltage across a capacitor.
- Sketch the current through or voltage across a capacitor versus time.
- Calculate the voltage across an inductor.
- Calculate the current through an inductor.
- Sketch the current through or voltage across an inductor versus time.
- Calculate the energy stored in an inductor and capacitor.
- Combine capacitors and inductors in series and parallel.

## Chapter 8

- Analyze source-free RL and RC circuits.
- Sketch the transient response of RL and RC circuits.
- Calculate the time constant of RL and RC circuits.
- Explain the properties of the exponential response.
- Define a unit step function.
- Analyze a circuit containing a unit step function.
- Analyze forced RC and RL circuits.
- Sketch the response of forced and source-free RC and RL circuits.

## Chapter 10

- Describe and identify the amplitude, frequency, and phase shift of sinusoids.
- Perform addition, subtraction, multiplication, and division of complex numbers in rectangular coordinates.
- Perform addition, subtraction, multiplication, and division of complex numbers in polar coordinates.
- Convert complex numbers from rectangular to polar notation, and vice versa.
- Identify leading and lagging sinusoids.
- Calculate the phase angle between two sinusoids.
- Convert between sine and cosine using phase shifts (i.e., the four identities on page 373).
- Convert sources from the time domain to the frequency domain, and vice versa.
- Convert impedances from the time domain to the frequency domain, and vice versa.
- Add series and parallel impedances in the frequency domain.
- Analyze circuits in the frequency domain using nodal analysis, mesh analysis, superposition, source transformations, and Thevenin and Norton equivalents.

## Chapter 16

- Define resonance.
- Identify the resonant frequency of a circuit.
- Calculate the lower half-power frequency, upper half-power frequency, and bandwidth of a circuit.
- Sketch the frequency response (Bode plot/magnitude plot) of a circuit.
- Calculate the corner frequency(ies) of a passive or active filter.
- Calculate a numerical value for magnitude (HdB), given a transfer function, frequency, or component values.
- Design and analyze passive low and high-pass filters.
- Design and analyze active low, high, band-stop, and band-pass filters.

## Diodes

- Draw an I-V curve for diodes.
- Sketch the large-signal model of a diode.
- Solve simple circuits with diodes.

## Signal acquisition and Nyquist

- Convert between binary and decimal.
- Define analog and digital.
- Calculate and define the Nyquist frequency
- Define resolution and sampling rate.
- Determine the required sampling rate for a signal, given its frequency spectrum, or vice versa.
- Determine the resolution of a sampled signal.
- Explain why signals should be low-pass filtered before sampling.
- Draw the frequency spectrum of a signal before and after filtering.
- Define and identify aliasing.
- Determine the resolution of an A/D converter given a number of bits.

## Digital systems

- Distinguish between sign-magnitude and two’s complement number systems.
- Find the two’s complement of a binary number.
- Add and subtract binary numbers.
- Perform Boolean algebra operations.
- Sketch the basic logic circuit symbols: NOT, AND, OR, NAND, NOR.
- Draw the truth table for NOT, AND, OR, NAND, NOR.
- Draw the truth table for a Boolean function.
- Identify and use DeMorgan’s theorem.
- Use Boolean identities to simplify Boolean functions.
- Express a Boolean function using minterms and/or sum-of-products.
- Express a Boolean function using maxterms and/or product-of-sums.