Section 18

Guide to framing a circuit problem

Use the circuit cue (DC, transient, sinusoidal, device or digital) to open the right block.

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Cue → approach

  1. Signal

    Resistive DC

    Approach

    Reduce the network and obtain Thévenin/Norton

  2. Signal

    Loaded network

    Approach

    Include the load before using the divider

  3. Signal

    RC transient

    Approach

    Find vC(0+)v_C(0^+), vC(∞)v_C(\infty) and τ=RC\tau=RC

  4. Signal

    RL transient

    Approach

    Find iL(0+)i_L(0^+), iL(∞)i_L(\infty) and τ=L/R\tau=L/R

  5. Signal

    RLC circuit

    Approach

    Write the characteristic equation and classify ζ\zeta

  6. Signal

    Sinusoids

    Approach

    Convert to RMS phasors and impedances

  7. Signal

    AC power or resonance

    Approach

    Compute P,Q,SP,Q,S, PF and the reactive condition

  8. Signal

    Filter

    Approach

    Obtain H(jω)H(j\omega), cutoffs, slope and loading

  9. Signal

    Diode rectifier

    Approach

    Choose a model, identify conduction and ripple

  10. Signal

    Operational amplifier

    Approach

    Confirm feedback, linear region and saturation

  11. Signal

    Combinational logic

    Approach

    Write the truth table, minimize and check hazards

  12. Signal

    Sequential or flip-flop

    Approach

    Check clock, setup, hold and next state

Checklist

  1. Draw nodes, references, polarities and directions.
  2. Identify whether the excitation is DC, transient, sinusoidal or digital.
  3. Separate initial state, transient regime and final state.
  4. Choose a valid model for each device and its operating region.
  5. Simplify the network and write KCL, KVL, phasors or a state table.
  6. Solve in SI units and keep signs and RMS or peak values.
  7. Check limits, power, saturation, frequency and timing.
  8. Compare the result with a physical estimate and record assumptions.

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