ECE 110/Fall 2025/Exam

1. Everything from Test 1
2. Everything from Test 2
3. Complex numbers and sinusoids
4. Impedance \(\Bbb{Z}=R+jX\), Admittance \(\Bbb{Y}=G+jB\), Resistance \(R\), Reactance \(X\), Conductance \(G\), Susceptance \(B\)
   1. Know the impedance of reactive elements
   2. Be able to find the equivalent impedance of a reactive network at a particular frequency or as a function of $$\omega$$
   3. Be able to determine the reactive elements in a series or parallel network based on the impedance at one or more frequencies
5. AC Steady State / Phasor Analysis
   1. Draw circuit in frequency domain
   2. Determine system of equations using NVM, MCM, and/or BCM to solve relationships in frequency domain
   3. For "simple" circuits, be able to determine output phasors numerically and translate into time domain
   4. Note that you can solve ACSS problems with sources of different frequencies, but you can only solve for one frequency at a time - do not mix phasors that represent signals at different frequencies!
6. Transfer Functions
   1. Be able to find transfer functions between outputs and inputs in the frequency domain.
   2. Use the derivative property to get differential equations from transfer functions or transfer functions from differential equations
7. Filters
   1. Be able to determine a filter type based on magnitude information
   2. Be able to design 1st order low-pass and high-pass filters with maximum gains of 1 using an RC or RL circuit
8. Digital Logic
   1. Be able to represent and interpret digital logic functions through the use of a digital logic function (of course), minterms, maxterms, 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 representation of a digital logic function using NOT gates and two-input AND and OR gates
   4. Be able to accurately draw a representation of a digital logic function using onle two-input NAND gates
   5. Be able to determine the complexity of representations so drawn