ECE 110/Fall 2022/Test 2

This page contains the list of topics for ECE 110 Test 2. Post questions or requests for clarification to the discussion page. Note: In Fall of 2022 we did not discuss Bode plots - any problem you see on a previous test that refers to a Bode plot will not be part of your test.

Test II Fall 2022 Coverage

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

1. Reactive elements (Capacitors and Inductors)
   1. Know the 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 conditions just before something changes, just after something changes, and as time goes to infinity given piecewise constant forcing functions
   2. Set up and solve a first-order differential equation with initial conditions and constant forcing functions
   3. Accurately sketch the solution to switched circuit / constant source circuit
3. Complex numbers and sinusoids
   1. Be able to efficiently perform mathematical operations on complex numbers with a calculator
   2. Be able to represent values in both rectangular and polar form with a calculator
   3. Seriously - there will not be enough time to do bunches or subordinate calculations by hand that a calculator can do in one step!
4. Impedance \(\Bbb{Z}=R+jX\), Admittance \(\Bbb{Y}=G+jB\), Resistance \(R\), Reactance \(X\), Conductance \(G\), Susceptance \(B\)
   1. Be able to find an equivalent impedance symbolically or numerically
   2. Given an impedance, be able to build a passive network or R, L, and/or C with the given impedance
   3. Given a passive network, be able to find the resonant frequency of that network.
5. AC Steady State / Phasor Analysis
   1. Draw circuit in the frequency domain
   2. Determine a series of equations using NVM, MCM, and/or BCM to solve relationships in the frequency domain
   3. For "simple" circuits, be able to determine output phasors numerically and translate them 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 to get transfer functions from differential equations
   3. Be able to determine a filter type based on magnitude information (for example, from a magnitude plot)
   4. For voltage-to-voltage RC or RL circuits
      1. Be able to identify filter type and cutoff frequency
      2. Be able to design an RC or RL circuit to make a high-pass or low-pass filter with a particular cutoff frequency

Specifically Not On The Test

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