Aid Sheet

1. Linear Resistive Circuits

• [x] Maximum power transfer: $P_{\text {max}} = \frac{V_T ^2}{4R_T}$
• [x] Adding resistors in parallel vs series
• [x] Finding equivalent resistance
  • Voltage sources are replaced with a short
  • Current sources are replaced with an open
• [x] Voltage goes from low potential to high potential, but reverse the equation
• [ ] No voltage through a short, no current through an open
• [x] Thevenin
  1. Only independent sources
     1. Turn off all sources to find equivalent $R_{TH}$
  2. Only dependent sources
     1. Use 1V or 1A test source
  3. Dependent and independent sources
     1. Find $V_{OC}$ and $I_{SC}$ as well as test source x
• [ ] By inspection (nodal/mesh)

2. Op Amps

3. Linear Dynamic Circuits

• [ ] Solve for $\omega$ and $\alpha$ and based on their ratio ($\zeta$), we can determine over, under, or critically damped
• [ ] Inductors store energy when current passes through
• [ ] Capacitors store energy when voltage passes through
• [x] Inductor current and capacitor voltage as $t → \infty$ for second order series vs parallel RLC
• [ ] Don’t forget forced response (DC source)
• [x] When differentiating $Y_c$, look back at change in inductor current and change in capacitor voltage relationships to help

4. Sinusoidal Steady State

• [x] Adding impedance in parallel vs in series