ECE 110/Fall 2019/Test 2

This page contains the list of topics for ECE 110 Test 2. Post questions or requests for clarification to the discussion page.

Test II Fall 2019 Coverage

While the test is necessarily cumulative, the focus will be on the topics below.

1. Reactive elements (Capacitors and Inductors)
   1. Know main model equation relating voltage and current and what it means for the voltage across a capacitor or the current through an inductor
   2. Know the equation for energy stored in a capacitor or an inductor. Note that if you use superposition to find the capacitor voltage or inductor current, you must wait until the end of the superposition process, when you have the total voltage or current, to find the energy stored.
   3. Be able to represent a circuit with reactive elements in the DC Steady State
   4. Be able to determine a model equation for circuits comprised of R, C, and sources or R, L, and sources
2. DC Switched circuits / constant source circuits
   1. Determine initial conditions given constant forcing functions
   2. Set up and solve a first-order differential equation with initial conditions and constant forcing functions
   3. Accurately sketch solution to switched circuit / constant source circuit
3. Complex numbers and sinusoids
4. Impedance \(\Bbb{Z}=R+jX\), Admittance \(\Bbb{Y}=G+jB\), Resistance \(R\), Reactance \(X\), Conductance \(G\), Susceptance \(B\)
5. AC Steady State / Phasor Analysis
   1. Draw circuit in frequency domain
   2. Determine series 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 and Filters
   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
   3. Be able to determine a filter type based on magnitude information (for example, from a Bode plot)
   4. Be able to sketch an accurate straight-line approximation of the Bode magnitude and phase plots for transfer functions not involving underdamped roots (i.e. involving only constants, $$j\omega$$, and corner terms
   5. Be able to determine transfer functions given a straight-line approximation to the Bode magnitude plot assuming no underdamped roots

Specifically Not On The Test

• Op Amps
• Fourier Series
• Analytic and algebraic topology of locally Euclidean metrization of infinitely differentiable Riemannian manifold